Papers · from arXiv every weekday
Ricci flow papers from 2023
230 papers from 2023, 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 230 papers from 2023
Topic
December 2023 24
Backward propagation of warped product structures and asymptotically conical shrinkers
Mean curvature flow with multiplicity 2 convergence in
Long-time behavior of awesome homogeneous Ricci flows
The Smale Conjecture and Minimal Legendrian Graph in
A dual Yamabe flow and related integral flows
Dynamical Stability and Instability of Poincaré–Einstein Manifolds
Rigidity of area non-increasing maps
A second-order operator for horizontal quasiconvexity in the Heisenberg group and application to convexity preserving for horizontal curvature flow
The continuity of curvature flow in Fréchet distance
On the dynamics of a three-dimensional differential system related to the normalized Ricci flow on generalized Wallach spaces
Li-Yau Estimates for a Nonlinear Parabolic Equation on Finsler Manifolds
Asymptotic growth rate of solutions to level-set forced mean curvature flows with evolving spirals
Ricci flow of discrete surfaces of revolution, and relation to constant Gaussian curvature
An area growth argument for null mean curvature flow along the standard de Sitter lightcone
The spectral rigidity of Ricci soliton and Einstein-type manifolds
Mean Curvature Flow and Heegaard Surfaces in Lens Spaces
Kähler-Ricci Tangent Flows are Infinitesimally Algebraic
Calabi flow with bounded scalar curvature
Deformation of discrete conformal structures on surfaces
On the Multiplicity One Conjecture for Mean Curvature Flows of surfaces
Flows of piecewise analytic vector fields in convex polytope decompositions
Toral symmetries of collapsed ancient solutions to the homogeneous Ricci flow
Mean Curvature Flow from Conical Singularities
November 2023 20
Pinching estimates of hypersurfaces by a generalized Gauss curvature flow
On the Structure of Singularities of Weak Mean Curvature Flows with Mean Curvature Bounds
Open manifolds with uniformly positive isotropic curvature
The Ricci iteration towards cscK metrics
Ancient mean curvature flows from minimal hypersurfaces
Exponential Asymptotics of Ricci Flow Neckpinch
A Hilbert–Mumford criterion for nilsolitons
Curvature estimates of ancient solutions to the mean curvature flow of higher codimension with convex Gauss image
Hyperbolic Circle Packings and Total Geodesic Curvatures on Surfaces with Boundary
Unique Asymptotics of Steady Ricci Solitons with Symmetry
The Curve Shortening Flow for Curves of Finite Total (Absolute) Curvature
New advances on the existence and regularity of Brakke's mean curvature flows
The existence of inversive distance circle packing on hyperbolic polyhedral surface
Modified mean curvature flow and CMC foliation conjecture in almost Fuchsian manifolds
Liouville type theorems for harmonic functions on gradient Ricci solitons
The weighted geometric inequalities for static convex domains in static rotationally symmetric spaces
Mean Curvature Flow of High Codimension in Complex Projective Space
Special Ricci-Hessian equations on Kähler manifolds
Gromov-Hausdorff stability of tori under Ricci and integral scalar curvature bounds
The existence of inversive distance circle packing on polyhedral surface
October 2023 26
Singular Ricci Flows on surfaces with boundary and positive scalar curvature
Metric Flows with Neural Networks
On the Isometry Group of Immortal Homogeneous Ricci Flows
Singularity formation along the line bundle mean curvature flow
Some properties of hyperbolic Yamabe solitons
Parabolic frequency monotonicity for two nonlinear equations under Ricci flow
Dimension Reduction for Positively Curved Steady Solitons
Local smooth convergence of -limit flows
Poincaré inequality and topological rigidity of translators and self-expanders for the mean curvature flow
steady gradient Ricci solitons with nonnegative curvature away from a compact set
Kähler Solitons, Contact Structures, and Isoparametric Functions
Parabolic frequency monotonicity on the conformal Ricci flow
Bowl Soliton Asymptotics and Applications
Rotational symmetry of ancient solutions to fully nonlinear curvature flows
Uniqueness of blowups for forced mean curvature flow
Geometric regularity of blow-up limits of the Kähler-Ricci flow
Finite time singularities of the Kähler-Ricci flow
A new proof of Perelman's scalar curvature and diameter estimates for the Kähler-Ricci flow on Fano manifolds
Uniqueness of Semigraphical Translators
The Smale conjecture and min-max theory
Clairaut conformal submersions from Ricci solitons
Stability analysis for the anisotropic curve shortening flow of planar networks
Robinson-Trautman solutions with scalar hair and Ricci flow
On local rigidity theorems with respect to the scalar curvature
Gauss curvature flow with shrinking obstacle
Sharp distance comparison for curve shortening flow on the round sphere
September 2023 18
Static solutions to symplectic curvature flow in dimension four
A Bernstein theorem for ancient solution to symplectic mean curvature flow
Mean curvature flows of graphs sliding off to infinity in warped product manifolds
The Wasserstein distance for Ricci shrinkers
A Bernstein theorem of ancient solutions to mean curvature flow
General Conformally Induced Mean Curvature Flow
Kähler-Ricci solitons on Fano threefolds with non-trivial moduli
A Minkowski type inequality for manifolds with positive spectrum
Quantitative convergence of the nonlocal Allen–Cahn equation to volume-preserving mean curvature flow
Almost splitting and quantitative stratification for super Ricci flow
Existence and Morse Index of two free boundary embedded geodesics on Riemannian 2-disks with convex boundary
Entire solutions of two-convex Lagrangian mean curvature flows
Combinatorial curvature flows for generalized hyperbolic circle packings
Collapsing of Mean Curvature Flow of Hypersurfaces to Complex Submanifolds
Mean curvature flow with generic low-entropy initial data II
Rigidity and deformation of generalized sphere packings on 3-dimensional manifolds with boundary
Convex Ancient Solutions to Anisotropic Curve Shortening Flow
Ricci flow and PIC1
August 2023 13
Translators invariant under hyperpolar actions
Derivative estimates of pluriclosed flow
Independence of Singularity Type for Numerically Effective Kähler-Ricci Flows
Classification of ruled surfaces as homothetic self-similar solutions of the inverse mean curvature flow in the Lorentz-Minkowski 3-space
Ruled surfaces as translating solitons of the inverse mean curvature flow in the three-dimensional Lorentz-Minkowski space
Rigidity and ε-regularity theorems of Ricci shrinkers
Genus one singularities in mean curvature flow
Flow by Gauss Curvature to the orlicz Chord Minkowski Problem
Combinatorial curvature flows with surgery for inversive distance circle packings on surfaces
Translating Annuli for Mean Curvature Flow
The weighted ambient metric for manifolds with density
On -solutions and canonical neighborhoods in 4d Ricci flow
Triviality Results and Conjugate Radius Estimation of Ricci Solitons
July 2023 24
New expanding Ricci solitons starting in dimension four
The Parabolic -Higgs Equations and Codimension-two Mean Curvature Flows
Solitons to Mean Curvature Flow in the hyperbolic 3-space
Classification of Gradient Ricci solitons with harmonic Weyl curvature
Mean Curvature Flow in de Sitter space
Ricci iterations of well-behaved Kähler metrics
Matrix Li-Yau-Hamilton Estimates under Kähler-Ricci Flow
Stochastic Ricci Flow dynamics of the gravitationally induced wave-function collapse
Geometric flows and the Swampland
Pseudolocality and completeness for nonnegative Ricci curvature limits of 3D singular Ricci flows
The complete dynamics description of positively curved metrics in the Wallach flag manifold
A volume-renormalized mass for asymptotically hyperbolic manifolds
The Riemannian curvature identities for the torsion connection on -manifold and generalized Ricci solitons
The Riemannian curvature identities of a connection with skew-symmetric torsion and generalized Ricci solitons
All two-dimensional expanding Ricci solitons
Conformal solitons for the mean curvature flow in hyperbolic space
The Riemannian curvature identities on almost Calabi-Yau with torsion 6-manifold and generalized Ricci solitons
The Riemannian Bianchi identities of metric connections with skew torsion and generalized Ricci solitons
Convergence of the volume preserving fractional mean curvature flow for convex sets
A direct approach to sharp Li-Yau Estimates on closed manifolds with negative Ricci lower bound
A topological gap theorem for the -systole of positive scalar curvature 3-manifolds
Vanishing bach-like tensors on complete gradient shrinking ricci solitons
Free boundary minimal disks in convex balls
Isoperimetry and the properness of weak inverse mean curvature flow
June 2023 18
Immersions of Sasaki-Ricci solitons into homogeneous Sasakian manifolds
The estimate for parabolic complex Monge-Ampère equations
Horizontal inverse mean curvature flow in the Heisenberg group
A level-set method for a mean curvature flow with a prescribed boundary
Stability of piecewise flat Ricci flow
Rigidity Properties of Colding-Minicozzi Entropies
A De Lellis-Müller type estimate on the Minkowski lightcone
Matrix Li-Yau-Hamilton estimates under Ricci Flow and parabolic frequency
Sharp upper bounds for the capacity in the hyperbolic and Euclidean spaces
Uniqueness of Ricci flows from nonatomic Radon measures on Riemann surfaces
A strong Frankel Theorem for shrinkers
Free boundary flow with surgery
Einstein-type metrics and generalized Ricci solitons on weak -K-contact manifolds
Hadamard-type variation formulae for the eigenvalues of a class of second-order elliptic operators and its applications
Kähler Gradient Ricci Solitons with Large Symmetry
Log del Pezzo -surfaces, Kähler-Einstein metrics, Kähler-Ricci solitons and Sasaki-Einstein metrics
Maximum Principles and Consequences for -translators in
Optimal Transport and Generalized Ricci Flow
May 2023 29
Monotone Quantities for -Harmonic functions and the Sharp -Penrose inequality
Combinatorial Calabi flows for ideal circle patterns in spherical background geometry
Enhanced profile estimates for ovals and translators
Aspects of the Classical Double Copy
Classification of compact manifolds with positive isotropic curvature
Two nonlocal inverse curvature flows of convex closed plane curves
Dynamics of Convex Mean Curvature Flow
Singularities of the Chern-Ricci flow
Hamiltonian -forms and new explicit Calabi–Yau metrics and gradient steady Kähler–Ricci solitons on
An inverse Gauss curvature flow and its application to p-capacitary Orlicz-Minkowski problem
Existence of BV flow via elliptic regularization
Stability of the surface diffusion flow and volume-preserving mean curvature flow in the flat torus
The Heterotic-Ricci flow and its three-dimensional solitons
estimates for Kähler-Ricci flow on Kähler-Einstein Fano manifolds: a new derivation
Curvature-Torsion Entropy for Twisted Curves under Curve Shortening Flow
Nature of Some Solitons on Almost coKähler Manifolds and Asymptotically Harmonic Manifolds
Equivariant solutions to the optimal partition problem for the prescribed Q-curvature equation
On the rigidity of Ricci shrinkers
On the dynamics of positively curved metrics on under the homogeneous Ricci flow
Inhomogeneous deformations of Einstein solvmanifolds
Neck pinch singularities and Joyce conjectures in Lagrangian mean curvature flow with circle symmetry
Kähler-Ricci flow on -spherical Fano manifolds
Rigidity properties of holomorphic isometries into homogeneous Kähler manifolds
Inverse mean curvature flow and Ricci-pinched three-manifolds
Deformations of Fano manifolds with weighted solitons
Propagation of symmetries for Ricci shrinkers
Eigenvalue lower bounds and splitting for modified Ricci flow
The mean curvature flow on solvmanifolds
Gap Theorem on Riemannian manifolds using Ricci flow
April 2023 18
The chord Gauss curvature flow and its chord Minkowski problem
Ricci flow from spaces with edge type conical singularities
Some aspects of anisotropic curvature flow of planar partitions
Uniqueness of solutions to a class of isotropic curvature problems
Symmetric mean curvature flow on the n-sphere
Curvature bound for Minkowski problem
Annuloids and -wings
A path integral formula of quantum gravity emergent from entangled local structures
Legendrian mean curvature flow in -Einstein Sasakian manifolds
Weighted extremal metrics on blowups
Parabolic evolution with boundary to the Bishop family of holomorphic discs
Back to almost Ricci solitons
Ricci flow on Finsler manifolds
Ricci Flow under Kato-type curvature lower bound
Geometric flows from unified string theories
Singularities of low entropy high codimension curve shortening flow
A capillary problem for spacelike mean curvature flow in a cone of Minkowski space
Linear stability of compact shrinking Ricci solitons
March 2023 15
The curvature operator of the second kind in dimension three
Compact curve shortening flow solutions out of non compact curve
A convergence rate of periodic homogenization for forced mean curvature flow of graphs in the laminar setting
Sasakian lift of Kaehler manifold and -Sasakian Ricci solitons
A combinatorial curvature flow in spherical background geometry
Ancient pancake solutions to fully nonlinear curvature flows
Positive intermediate curvatures and Ricci flow
On locally conformally flat manifolds with positive pinched Ricci curvature
Gradient estimates for a nonlinear parabolic equation on smooth metric measure spaces with evolving metrics and potentials
Convergence stability for Ricci flow on manifolds with bounded geometry
Weighted K-stability for a class of non-compact toric fibrations
The parabolic quaternionic Calabi-Yau equation on hyperkähler manifolds
Hermitian Calabi functional in complexified orbits
Singularity Models for High Codimension Mean Curvature Flow in Riemannian Manifolds
Stability and moduli space of generalized Ricci solitons
February 2023 11
A distance comparison principle for curve shortening flow with free boundary
On curvature related geometric properties of Hayward black hole spacetime
Some remarks on a class of logarithmic curvature flow
A Statistical Fields Theory underlying the Thermodynamics of Ricci Flow and Gravity
Mean curvature flow with generic initial data II
On the rate of convergence of the rescaled mean curvature flow
Ancient Ricci flows of bounded girth
Existence of the -Ricci-Yamabe flow on closed manifolds
New applications of the Ahlfors Laplacian
Mean Curvature Flows of Two-Convex Lagrangians
Dimension-Dependent Asymptotic Dynamics for Mean Curvature Flow with Robin Boundary Conditions
January 2023 14
Kähler-Ricci flow and conformal submersion
Convergence of Allen-Cahn equations to De Giorgi's multiphase mean curvature flow
Conformal Ricci solitons on generalized ()-space forms
A Variant Prescribed Curvature Flow on Closed Surfaces with Negative Euler Characteristic
Uniqueness of conical singularities for mean curvature flows
Flat flow solution to the mean curvature flow with volume constraint
On Kähler Ricci shrinker surfaces
A New Monotone Quantity in Mean Curvature Flow Implying Sharp Homotopic Criteria
Heat kernel on Ricci shrinkers (II)
On mean curvature flow translators with prescribed ends
Mean curvature flow in an extended Ricci flow background
Generalized Ricci solitons and Einstein metrics on weak -contact manifolds
Bismut Ricci flat generalized metrics on compact homogeneous spaces (including a Corrigendum)
Generic level sets in mean curvature flow are BV solutions
No papers match. Try clearing a filter, or look in 2026, 2025, 2024, 2023, 2022, 2021.