Papers · from arXiv every weekday
Ricci flow papers from 2024
254 papers from 2024, out of 1,462 papers on Ricci flow, Ricci solitons, Perelman's methods and the Poincaré conjecture, plus the geometric flows that share their tools — mean curvature flow, curve shortening, Yamabe flow — marked Wider flows. 13 of them are from the last seven days. Click a title for the PDF, or the arXiv number for the abstract.
Archive
All 254 papers from 2024
Topic
December 2024 25
Star-shaped Curves under Gage's Area-preserving Flow and the CSF
Foliations of asymptotically Schwarzschildean lightcones by surfaces of constant spacetime mean curvature
Bounds of Scalar curvature, S-curvature and distortion on -Einstein Finsler manifolds
Foliation of constant harmonic mean curvature surfaces in asymptotic Schwarzschild spaces
Infinitely many non-collapsed steady Ricci solitons on complex line bundles
Grim Raindrop: A Translating Solution to Curve Diffusion Flow
Type II Singularities of Lagrangian Mean Curvature Flow with Zero Maslov Class
-translators of offset surfaces
-Ricci solitons and -Einstein metrics on weak -Kenmotsu -manifolds
On some new Ricci flow invariant curvature conditions
The Gauss dual Minkowski problem
Non-collapsing of Ricci shrinkers with bounded curvature
Isotropy invariant graphical mean curvature flows in warped products
Classification of ancient noncollapsed flows in
Navigating string theory field space with geometric flows
Smoothness up to the free boundary for the -Laplacian evolution equation and the -Gauss curvature flow
A rigidity theorem of ancient solutions to the mean curvature flow in codimension one
On the fundamental group of steady gradient Ricci solitons with nonnegative sectional curvature
On the long-time limit of the mean curvature flow in closed manifolds
The Kähler-Ricci soliton on bounded pseudoconvex domains
The Ricci curvature and the normalized Ricci flow on the Stiefel manifolds
Generalized Yamabe Flows
Convergence of a heterogeneous Allen-Cahn equation to weighted mean curvature flow
From Kähler Ricci solitons to Calabi-Yau Kähler cones
November 2024 24
A curvature flow that deforms curves to an embedded target
Existence of curvature flow with forcing in a critical Sobolev space
Evolution of the Torsional Rigidity under Geometric Flows
Classification of Semigraphical Translators
Horizontal mean curvature flow as a scaling limit of a mean field equation in the Heisenberg group
-Ricci Solitons on Kenmotsu 3-Manifolds
Preserving curvature lower bounds when Ricci flowing non-smooth initial data
Dimension estimate and existence of holomorphic sections with polynomial growth on gradient Kähler Ricci shrinkers
Liouville theorems for harmonic 1-forms on gradient Ricci solitons
Rigidity of Five-dimensional Shrinking Gradient Ricci Solitons with Constant Scalar Curvature
Solutions to the Ricci Flow via Einstein Field Equations
Uniqueness and Symmetry of Self-Similar Solutions of Curvature Flows in Warped Product Spaces
Complex Monge-Ampère equation for positive -forms on compact Kähler manifolds
Fine properties of nonlinear potentials and a unified perspective on monotonicity formulas
Some rigidity results on shrinking gradient Ricci soliton
Evolution of weights on a connected finite graph
Boundary Value Problem and Discrete Schwarz-Pick Lemma for Generalized Hyperbolic Circle Packings
A non-homogeneous generalization of Burgers equations
The asymptotic behavior of the steady gradient Kähler-Ricci soliton of the Taub-NUT type of Apostolov and Cifarelli
Stochastic Optimization Using Ricci Flow
Curve shortening flow with an ambient force field
Evolution and Monotonicity of Geometric Constants under Extended Ricci Flows with Variable Coupling Parameters
Evolution of Functionals Under Extended Ricci Flow
Non-Shrinking Ricci Solitons of cohomogeneity one from the quaternionic Hopf fibration
October 2024 22
Explicit complete Ricci-flat metrics and Kähler-Ricci solitons on direct sum bundles
A rigidity result for axisymmetric toric Ricci solitons
Backward Uniqueness of Extrinsic Geometric Flow in general ambient manifolds
Singularity formations in Lagrangian mean curvature flow
Uniqueness of Kähler Ricci shrinkers on toric orbifolds
Translating Solitons to a Lagrangian mean curvature flow with zero Maslov class
Lagrangian Mean Curvature Flow in Pseudo-Euclidean Space II
A CMC existence result for expanding cosmological spacetimes
Orbifold singularity formation along ancient and immortal Ricci flows
Ricci Flows with Nilpotent Symmetry and Zero Bundle Curvature
The dual Minkowski problem for -torsional rigidity
Existence of weak mean curvature flow with prescribed contact angle via elliptic regularization
Kähler-Ricci shrinkers and Fano fibrations
Curve shortening flows on surfaces that are not convex at infinity
Volume estimates and convergence results for solutions to Ricci flow with bounded scalar curvature
Convergence of the Nonlocal Allen-Cahn Equation to Mean Curvature Flow
Curve Shortening Flow of Space Curves with Convex Projections
Median filter method for mean curvature flow using a random Jacobi algorithm
Spectrum of the drift Laplacian on Ricci expanders
On the existence and classification of -Yamabe gradient solitons
Asymptotic circularity of immortal area-preserving curvature flows
On bounds of entropy and total curvature for ancient curve shortening flows
September 2024 12
Nonmetric geometric flows and quasicrystalline topological phases for dark energy and dark matter in cosmology
Nonassicative cosmological solitonic R-flux deformations in gauge gravity and G. Perelman geometric flow thermodynamics
Geometry and Analysis of Gradient Ricci Solitons in Dimension Four
Stability of the area preserving mean curvature flow in asymptotic Schwarzschild space
Global Ricci Curvature Behaviour for the Kähler-Ricci Flow with Finite Time Singularities
Innovative Dynamics: Utilizing Perelman's Entropy and Ricci Flow for Settler Position Models on Manifolds
Existence of 5 minimal tori in 3-spheres of positive Ricci curvature
Translating solutions and the entire Hessian curvature flow in Minkowski space
Monotonicity of the modulus under curve shortening flow
Ricci curvature and normalized Ricci flow on generalized Wallach spaces
Revisiting generic mean curvature flow in
Notes on scalar curvature lower bounds of steady gradient Ricci solitons
August 2024 18
Trajectory Surfaces of Framed Curvature Flow
Volume-preserving mean-curvature flow as a singular limit of a diffusion-aggregation equation
Cohomogeneity two Ricci solitons with sub-Euclidean volume
A fully nonlinear locally constrained curvature flow for capillary hypersurface
Singularity Types for Long-Time Chern-Ricci Flow
From curve shortening to flat link stability and Birkhoff sections of geodesic flows
Pluriclosed flow and the Hull-Strominger system
Removing scalar curvature assumption for Ricci flow smoothing
Semi-Continuity of the Morse Index for Ricci Shrinkers
A modified Ricci flow on arbitrary weighted graph
Sharp Quartic Pinching for the Mean Curvature Flow in the Sphere
Asymptotic convergence for a class of fully nonlinear inverse curvature flows in a cone
L^2-instability of the Taub-Bolt metric under the Ricci flow
The weighted Hermite–Einstein equation
New quermassintegral and Poincaré type inequalities for non-convex domains
Stress-energy tensor deformations, Ricci flows and black holes
A Comprehensive Review of Solitonic Inequalities in Riemannian Geometry
Delayed parabolic regularity for curve shortening flow
July 2024 18
Topological Obstructions to the Existence of Compact Shrinking Ricci Solitons in Dimension Four
Log gradient estimates for heat type equations on manifolds
Asymptotic behavior of a diffused interface volume-preserving mean curvature flow
Ancient and expanding spin ALE Ricci flows
The behavior of the second Ricci flow on complex parallelizable manifolds
Volume preserving spacetime mean curvature flow and foliations of initial data sets
A Priori Estimates for Singularities of the Lagrangian Mean Curvature Flow with Supercritical Phase
A Liouville type theorem for ancient Lagrangian mean curvature flows
Convergences of Combinatorial Ricci Flows to Degenerated Circle Packings in Hyperbolic Background Geometry
Ricci solitons as submanifolds of complex hyperbolic spaces
Ricci-DeTurck Flow from Initial Metric with Morrey-type Integrability Condition
Regularity of the -Gauss curvature flow with flat side
Sharp Interior Gradient Estimate for Area Decreasing Graphical Mean Curvature Flow in Arbitrary Codimension
Sharpening a gap theorem: nonnegative Ricci and small curvature concentration
Convergence rate of the -curvature flow
Ends of (singular) Ricci shrinkers
Li-Yau Conformal Volume and Colding-Minicozzi Entropy of Self-Shrinkers
Self-shrinkers whose asymptotic cones fatten
June 2024 21
Fattening in mean curvature flow
A rigidity result for ancient Ricci flows
On the existence of conic Sasaki-Einstein metrics on log Fano Sasakian manifolds of dimension five
Characterizations of a Lorentzian Manifold with a semi-symmetric metric connection
Laplacian coflows of -structures on contact Calabi–Yau 7-manifolds
Global weak solutions for the inverse mean curvature flow in the Heisenberg group
On some -dimensional almost -Ricci solitons with diagonal metrics
Embedded cylindrical and doughnut-shaped -hypersurfaces
On the Existence of Weighted-cscK Metrics
Regularizing property of the twisted conical Kähler-Ricci flow
Alexandrov-Fenchel inequalities for capillary hypersurfaces in hyperbolic space
On isometry groups of gradient Ricci solitons
Exploring Stochastic Mean Curvature Flow on Networks Using Ito Calculus
Gauss curvature flow to the -Gaussian chord Minkowski problem
Prescribed mean curvature flow for noncompact hypersurfaces in Lorentz manifolds
Dynamical Stability of Minimal Lagrangians in Kähler-Einstein Manifolds of Non-Positive Curvature
Stability of the generalized Lagrangian mean curvature flow in cotangent bundle
Limit behavior of the twisted conical Kähler-Ricci flow with change in the cone angle
Volume preserving nonhomogeneous Gauss curvature flow in hyperbolic space
Integral curvature estimates for solutions to Ricci flow with bounded scalar curvature
A new trick for for Santalo's integral geometric proof of the strong Bonnesen inequality
May 2024 16
Arnold-Thom conjecture for the arrival time of surfaces
Minimal hypersurfaces in by doubling the equatorial
Translators of the mean curvature flow in the special linear group
Closed mean curvature flows with asymptotically conical singularities
Inverse mean curvature flow with outer obstacle
Nilpotent Lie algebras obtained by quivers and Ricci solitons
A convergence result for Mean Curvature Flow of totally real submanifolds
K-stability of special Gushel-Mukai manifolds
Uniqueness of tangent flows at infinity for finite-entropy shortening curves
Rigidity of eigenvalues of shrinking Ricci solitons
Area-Preserving Anisotropic Mean Curvature Flow in Two Dimensions
A Constrained Mean Curvature Flow On Capillary Hypersurface Supported On Totally Geodesic Plane
Immortal solutions of the Kähler-Ricci flow
Collapsing immortal Kähler-Ricci flows
Hypersurfaces with capillary boundary evolving by volume preserving power mean curvature flow
Ancient mean curvature flows with finite total curvature
April 2024 30
Scale and Conformal Invariance in 2d Sigma Models, with an Application to N=4 Supersymmetry
Flow by Gauss Curvature to the Orlicz Minkowski Problem for q-torsional rigidity
Kähler Soliton Surfaces Are Generically Toric
No compact split limit Ricci flow of type II from the blow-down
Willmore-type inequalities for closed hypersurfaces in weighted manifolds
Metric Measure Spaces and Synthetic Ricci Bounds – Fundamental Concepts and Recent Developments
The homogeneous generalized Ricci flow
Gradient estimation of a generalized non-linear heat type equation along Super-Perelman Ricci flow on weighted Riemannian manifolds
Formal structure of scalar curvature in generalized Kähler geometry
A mean curvature flow arising in adversarial training
Deep Learning as Ricci Flow
A Minkowski type inequality in warped cylinders
Expanding Ricci solitons coming out of weakly PIC1 metric cones
On length-preserving and area-preserving inverse curvature flow of planar curves with singularities
Anisotropic Gauss curvature flow of complete non-compact graphs
Monotonicity of RG flow in emergent dual holography of worldsheet nonlinear model
Monotonicity of the Cheeger constant under Ricci flow on spheres
Classification of Convex Ancient Solutions to Free Boundary Curve Shortening Flow in Convex Domains
Three circles theorems and Liouville type theorems
On weak inverse mean curvature flow and Minkowski-type inequalities in hyperbolic space
On the shrinking solitons of generalized Ricci flow
The Convergence of Prescribed Combinatorial Ricci Flows for Total Geodesic Curvatures in Spherical Background Geometry
On the second boundary value problem for mean curvature flow in Minkowski space
Deforming Locally Convex Curves into Curves of Constant -order Width
Stability of multiphase mean curvature flow beyond circular topology changes
Classification of superpotentials for cohomogeneity one Ricci solitons
A Simple Ricci Flow Proof of the Uniformization Theorem
Weak solutions of Anisotropic (and crystalline) inverse mean curvature flow as limits of -capacitary potentials
Ancient curve shortening flow in the disc with mixed boundary condition
Hermitian null loci
March 2024 28
Minimizing movements for the generalized power mean curvature flow
Splitting maps in Type I Ricci flows
Four-dimensional gradient Ricci solitons with (half) nonnegative isotropic curvature
On potentials whose level sets are orbits
Blow Up of Compact Mean Curvature Flow Solutions with Bounded Mean Curvature
Positive mass and isoperimetry for continuous metrics with nonnegative scalar curvature
Translators of the Mean Curvature Flow in Hyperbolic Einstein's Static Universe
On the inverse mean curvature flow by parallel hypersurfaces in space forms
Transverse Ricci solitons on a compact foliated manifold
Positive sectional curvature is not preserved under the Ricci flow in dimensions seven and thirteen
The Riemannian Penrose Inequality with Matter Density
Determinants of pseudo-laplacians and for spinor bundles over Riemann surfaces
Long time regularity of the -Gauss curvature flow with flat side
Codimension two mean curvature flow of entire graphs
Minimizing movements for forced anisotropic curvature flow of droplets
Which shapes can appear in a Curve Shortening Flow Singularity?
Novel Boundary Conditions for the Ricci Flow
Hessian estimates for shrinkers, expanders, translators, and rotators of the Lagrangian Mean Curvature Flow
Asymptotic behavior of unstable perturbations of the Fubini-Study metric in Ricci flow
Discrete and Continuum Area-Preserving Mean-Curvature Flow of Rectangles
Combinatorial p-th Calabi Flows for Total Geodesic Curvatures in hyperbolic background geometry
Discrete-to-continuum crystalline curvature flows
A family of Kähler flying wing steady Ricci solitons
Long-time Ricci flow existence and topological rigidity from manifolds with pinched scale-invariant integral curvature
Almost Ricci solitons on Finsler spaces
A Ricci flow on graphs from effective resistance
On the Hamilton-Lott conjecture in higher dimensions
A game-theoretic approach to the asymptotic behavior of solutions to an obstacle problem for the mean curvature flow equation
February 2024 21
Dark energy and dark matter configurations for wormholes and solitionic hierarchies of nonmetric Ricci flows and gravity
The Strominger System and Flows by the Ricci Tensor
A convergence result for a minimizing movement scheme for mean curvature flow with prescribed contact angle in a curved domain
Investigations on a Riemannian manifold with a semi-symmetric non-metric connection and gradient solitons
Characterizations of generalized Robertson-Walker spacetimes concerning gradient solitons
Solitons of the mean curvature flow in
Rigor with Machine Learning from Field Theory to the Poincaré Conjecture
Scalar curvature rigidity of the four-dimensional sphere
Eigenvalue estimates on shrinkers
On properties of the sets of positively curved Riemannian metrics on generalized Wallach spaces
Ricci flow on Courant algebroids
Nonassociative geometric and quantum information flows and R-flux deformations of wormhole solutions in string gravity
Gap theorems for complete self-shrinkers of -mean curvature flows
A version of Bakry-Émery Ricci flow on a finite graph
Invariant -translators in Lorentz-Minkowski space
The class of grim reapers in
Rotators-Translators to Mean Curvature Flow in
Mean curvature flow with multiplicity convergence in closed manifolds
Generalized almost-Kähler-Ricci solitons
Sharp estimates for the drift heat equation on shrinking Ricci solitons
Steady gradient Ricci solitons with nonnegative curvature operator away from a compact set
January 2024 19
Crystalline hexagonal curvature flow of networks: short-time, long-time and self-similar evolutions
Optimal Degenerations of K-unstable Fano threefolds
The Avoidance Principle for Noncompact Hypersurfaces Moving by Mean Curvature Flow
Wrinkling of fluid deformable surfaces
The prescribed curvature flow on the disc
Symmetry and pseudosymmetry properties of Vaidya-Bonner-de Sitter spacetime
Consistency of minimizing movements with smooth mean curvature flow of droplets with prescribed contact-angle in
Quenching for axisymmetric hypersurfaces under forced mean curvature flows
A discrete uniformization theorem for decorated piecewise hyperbolic metrics on surfaces
Three-dimensional positively curved generalized Ricci solitons with SO(3)-symmetries
Continuity of solutions to complex Monge-Ampère equations on compact Kähler spaces
On noncollapsed -limit metric solitons
Generalized Ricci flow on aligned homogeneous spaces
Riemannian Geometry of -type Real Flag Manifolds
Gauss Curvature Flow on Surfaces of Revolution – The Noncompact Case
The dimension of polynomial growth holomorphic functions and forms on gradient Kähler Ricci shrinkers
Infinite-Time Singularities of the Lagrangian Mean Curvature Flow
Quantization of the Kähler-Ricci flow and optimal destabilizer for a Fano manifold
Clairaut anti-invariant Riemannian maps with Kähler and Ricci soliton structures
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