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Ricci flow papers from 2021
108 papers from 2021, 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 108 papers from 2021
Topic
December 2021 16
Ricci flow does not preserve positive sectional curvature in dimension four
Dynamically Stable Poincaré Embeddings for Neural Manifolds
BV solutions for mean curvature flow with constant contact angle: Allen-Cahn approximation and weak-strong uniqueness
Long time behavior for a curvature flow of networks related to grain bundary motion with the effect of lattice misorientations
Hamilton-Ivey estimates for gradient Ricci solitons
Infinitesimal maximal symmetry and Ricci soliton solvmanifolds
Positive Hermitian Curvature Flow on special linear groups and perfect solitons
On cusps of caustics by reflection: a billiard variation on Jacobi's Last Geometric Statement
Pseudolocality and uniqueness of Ricci flow on almost Euclidean noncompact manifolds
Integrability and RG flow in 2d sigma models
On some locally symmetric embedded spaces with non-negative scalar curvature and their characterization
Capillary-type boundary value problems of mean curvature flow with force and transport terms on a bounded domain
Lower bound of modified -energy on a Fano manifold with degeneration for Kähler-Ricci solitons
Stochastic Quantization of General Relativity à la Ricci-Flow
The Ricci Flow and the Early Universe
November 2021 13
Symplectic geometric flows
A Gauss curvature flow related to the Orlicz-Aleksandrov problem
-invariant steady gradient Ricci solitons on four-manifolds
On the Ricci curvature of Kahler-Ricci Flow
On a Class of Fully Nonlinear Curvature Flows in Hyperbolic Space
On the Stability of Cylindrical Singularities of the Mean Curvature Flow
Curvature estimates for four-dimensional complete gradient expanding Ricci solitons
Curvature Estimates for the Continuity Method
Classification of convex ancient free boundary curve shortening flows in the disc
Convergence of the Weighted Yamabe Flow
Alexandrov-Fenchel inequality for convex hypersurfaces with capillary boundary in a ball
A local Sobolev inequality on Ricci flow and its applications
Infinite-time incompleteness of noncompact Yamabe flow
October 2021 16
Mean curvature type flow and sharp Micheal-Simon inequalities
Gradient Ricci solitons carrying a closed conformal vector field
Weak scalar curvature lower bounds along Ricci flow
Uniqueness of entire graphs evolving by Mean Curvature flow
Gradient pseudo-Ricci solitons of real hypersurfaces
Minimal Surface Entropy and Average Area Ratio
A new class of discrete conformal structures on surfaces with boundary
On scalar curvature lower bounds and scalar curvature measure
Short time existence for harmonic map heat flow with time-dependent metrics
Noncompact self-shrinkers for mean curvature flow with arbitrary genus
Collapsed ancient solutions of the Ricci flow on compact homogeneous spaces
An optimal volume growth estimate for noncollapsed steady gradient Ricci solitons
A novel finite element approximation of anisotropic curve shortening flow
Uniqueness and stability of singular Ricci flows in higher dimensions
On the fundamental group of non-collapsed ancient Ricci flows
Combinatorial Calabi flows on surfaces with boundary
September 2021 22
On canonical radial Kaehler metrics
Graphical translating solitons for the mean curvature flow and isoparametric functions
On Ricci flows with closed and smooth tangent flows
Parallel spinor flows on three-dimensional Cauchy hypersurfaces
A note on blowup limits in 3d Ricci flow
Rotationally symmetric translating solutions to extrinsic geometric flows
Variational structure and uniqueness of generalized Kähler-Ricci solitons
A note on gradient Ricci soliton warped metrics
Kähler-Ricci flow on rational homogeneous varieties
Ricci flow of -metrics in four dimensions
Some aspects of Ricci flow on the 4-sphere
Four-dimensional generalized Ricci flows with nilpotent symmetry
Singularities of Ricci flow and diffeomorphisms
Geometry of para-Sasakian metric as an almost conformal -Ricci soliton
Optimal growth bounds for eigenfunctions
A new varifold solution concept for mean curvature flow: Convergence of the Allen-Cahn equation and weak-strong uniqueness
Self-Similar Solutions to the Curvature Flow and its Inverse on the 2-dimensional Light Cone
Quadratically pinched submanifolds of the sphere via mean curvature flow with surgery
Ricci curvature integrals, local functionals, and the Ricci flow
An anisotropic inverse mean curvature flow for spacelike graphic curves in Lorentz-Minkowski plane
On the moduli spaces of left invariant metrics on cotangent bundle of Heisenberg group
Convergence of Hermitian manifolds and the Type IIB flow
August 2021 24
Constant weighted mean curvature hypersurfaces in Shrinking Ricci Solitons
Ricci Flow on Torus Bundles
Quantitative long range curvature estimate for mean curvature flow
A flow approach to the Musielak-Orlicz-Gauss image problem
Kenmotsu metric as conformal -Ricci soliton
Lorentz Ricci solitons of 4-dimensional non-Abelian nilpotent Lie groups
-Ricci-Yamabe Soliton and Contact Geometry
On almost nonpositive -Ricci curvature
Type II smoothing in mean curvature flow
Inverse Gauss curvature flow in a time cone of Lorentz-Minkowski space
Distributional solutions to mean curvature flow
No breather theorems for the mean curvature flow
The streamlines of -harmonic functions obey the inverse mean curvature flow
On a dichotomy of the curvature decay of steady Ricci soliton
Hessian estimates for the conjugate heat equation coupled with the Ricci flow
Compactness and rigidity of self-shrinking surfaces
Rigidity of the round cylinders in Ricci shrinkers
Ricci limit flows and weak solutions
Rigidity of spherical product Ricci solitons
Weak-strong uniqueness for the mean curvature flow of double bubbles
Level-set forced mean curvature flow with the Neumann boundary condition
Clairaut Riemannian maps
A local estimate for the mean curvature flow
The occurrence of surface tension gradient discontinuities and zero mobility for Allen-Cahn and curvature flows in periodic media
July 2021 17
Smoothing a measure on a Riemann surface using Ricci flow
Nontrivial breathers for Ricci flow
Fractional combinatorial Calabi flow on surfaces
Uniqueness of the -catenary cylinders by their asymptotic behaviour
Existence of singular rotationally symmetric gradient Ricci solitons in higher dimensions
Stability of the Volume Preserving Mean Curvature Flow in Hyperbolic Space
The Chern-Ricci flow
Kähler-Ricci flow for deformed complex structures
On the improved no-local-collapsing theorem of Ricci flow
Graphical translators for anisotropic and crystalline mean curvature flow
On the embeddability of the homogeneous Ricci flow and its collapses
Mean curvature flow and low energy solutions of the parabolic Allen-Cahn equation on the three-sphere
Ricci solitons of three-dimensional Lorentzian Bianchi-Cartan-Vranceanu spaces
Classification of generalized Yamabe solitons under vanishing conditions on the Weyl, Cotton, and Cao-Chen tensors
Generic Dynamics of Mean Curvature Flows with Asymptotically Conical Singularities
On C3-Like Finsler Metrics Under Ricci Flow
Hearing the shape of ancient noncollapsed flows in
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