Cover Image

A New Monotone Quantity in Mean Curvature Flow Implying Sharp Homotopic Criteria

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Tsai, Chung-Jun, Tsui, Mao-Pei, Wang, Mu-Tao
Format:	Preprint
Published:	2023
Subjects:	Differential Geometry Analysis of PDEs Geometric Topology 53C44
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Deformation of contracting maps under the harmonic map heat flow
by: Hsu, Jia-Lin, et al.
Published: (2024)

Entire solutions of two-convex Lagrangian mean curvature flows
by: Tsai, Chung-Jun, et al.
Published: (2023)

Graphical Translators for Mean Curvature Flow
by: Hoffman, David, et al.
Published: (2018)

Translating Annuli for Mean Curvature Flow
by: Hoffman, David, et al.
Published: (2023)

Deformations of $\mathbb Z_2$-Harmonic Spinors on 3-Manifolds
by: Parker, Gregory J.
Published: (2023)

On the long-time limit of the mean curvature flow in closed manifolds
by: Mramor, Alexander, et al.
Published: (2024)

High Codimension Mean Curvature Flow with Surgery
by: Lynch, Stephen, et al.
Published: (2020)

Boundary Singularities in Mean Curvature Flow and Total Curvature of Minimal Surface Boundaries
by: White, Brian
Published: (2021)

Surfaces and Hypersurfaces with Prescribed Radial Mean Curvature
by: Ferro, Marcelo Lopes, et al.
Published: (2025)

A Sharp Li-Yau gradient bound on Compact Manifolds
by: Zhang, Qi S.
Published: (2021)

Self-Expanding Solutions to the Mean Curvature Flow for Multiphase Surfaces with Regular Junctions
by: Liao, Wei-Hung
Published: (2025)

Expanders for Mean Curvature Flow and Counterexamples to Ilmanen's Genus-Reduction Conjecture
by: Hoffman, David, et al.
Published: (2026)

Polyhedra of Constant Gaussian Curvature
by: Hisakawa, Soto, et al.
Published: (2025)

A generalization of the Perelman gluing theorem and applications
by: Reiser, Philipp, et al.
Published: (2023)

Positive intermediate Ricci curvature on connected sums
by: Reiser, Philipp, et al.
Published: (2023)

Conformally flat structures via hyperbolic geometry
by: Quinn, Keaton
Published: (2023)

Ghost polygons, Poisson bracket and convexity
by: Bridgeman, Martin, et al.
Published: (2023)

Totally Geodesic Submanifolds in Products of Non-Positively Curved Manifolds
by: Hanson, Nicholas
Published: (2026)

Linking at Infinity and Scalar Curvature Decay on Non-Compact Manifolds
by: Orikasa, Shunichiro
Published: (2026)

Genus one singularities in mean curvature flow
by: Chu, Adrian Chun-Pong, et al.
Published: (2023)

Min-max theory and minimal surfaces with prescribed genus
by: Chu, Adrian Chun-Pong, et al.
Published: (2025)

Rigidity of area non-increasing maps
by: Lee, Man-Chun, et al.
Published: (2023)

Rigidity of contracting map using harmonic map heat flow
by: Lee, Man-Chun, et al.
Published: (2023)

On $κ$-solutions and canonical neighborhoods in 4d Ricci flow
by: Haslhofer, Robert
Published: (2023)

$\mathbb Z_2$-Harmonic Spinors and 1-forms on Connected sums and Torus sums of 3-manifolds
by: He, Siqi, et al.
Published: (2024)

Existence of 5 minimal tori in 3-spheres of positive Ricci curvature
by: Chu, Adrian Chun-Pong, et al.
Published: (2024)

Minimal surfaces with arbitrary genus in 3-spheres of positive Ricci curvature
by: Chu, Adrian Chun-Pong
Published: (2025)

Passing through nondegenerate singularities in mean curvature flows
by: Sun, Ao, et al.
Published: (2025)

Existence of four minimal spheres in $S^3$ with a bumpy metric
by: Wang, Zhichao, et al.
Published: (2023)

Existence of free boundary minimal disks in convex regions
by: Sarnataro, Lorenzo, et al.
Published: (2026)

Extremal conformal structures on projective surfaces
by: Mettler, Thomas
Published: (2015)

Topology of minimal surfaces in the sphere from capillarity
by: Firester, Benjy, et al.
Published: (2026)

Combinatorial p-th Calabi Flows for Total Geodesic Curvatures in hyperbolic background geometry
by: Hu, Guangming, et al.
Published: (2024)

A Spinorial Heat Flow Framework for Geometric Degeneration on $3$-Manifolds
by: Taş, Ferhat
Published: (2025)

Sharp Entropy Bounds for Self-Shrinkers in Mean Curvature Flow
by: Hershkovits, Or, et al.
Published: (2018)

Metrics of Positive Ricci Curvature on Simply-Connected Manifolds of Dimension $6k$
by: Reiser, Philipp
Published: (2022)

An enumerative min-max theorem for minimal surfaces
by: Chu, Adrian Chun-Pong, et al.
Published: (2026)

New Topological Restrictions For Spaces With Nonnegative Ricci Curvature
by: Cucinotta, Alessandro, et al.
Published: (2026)

On the Legendrian realisation of parametric families of knots
by: Martínez-Aguinaga, Javier
Published: (2024)

Parametric satellites and connected-sums in the space of Legendrian embeddings
by: Fernández, Eduardo, et al.
Published: (2024)