Cover Image

Ancient mean curvature flows with finite total curvature

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Choi, Kyeongsu, Huang, Jiuzhou, Lee, Taehun
Format:	Preprint
Published:	2024
Subjects:	Differential Geometry Analysis of PDEs
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

A nonexistence result for wing-like mean curvature flows in $\mathbb{R}^4$
by: Choi, Kyeongsu, et al.
Published: (2021)

Self-similar solutions of semilinear heat equations with positive speed
by: Choi, Kyeongsu, et al.
Published: (2024)

Mean curvature flow with generic initial data
by: Chodosh, Otis, et al.
Published: (2020)

Classification of ancient ovals in higher dimensional mean curvature flow
by: Choi, Beomjun, et al.
Published: (2026)

Closed mean curvature flows with asymptotically conical singularities
by: Lee, Tang-Kai, et al.
Published: (2024)

On the rate of convergence of cylindrical singularity in mean curvature flow
by: Huang, Yiqi, et al.
Published: (2025)

Quantitative uniqueness for mean curvature flow
by: Colding, Tobias Holck, et al.
Published: (2025)

Lectures on mean curvature flow of surfaces
by: Haslhofer, Robert
Published: (2021)

Classification of ancient noncollapsed flows in $\mathbb{R}^4$
by: Choi, Kyeongsu, et al.
Published: (2024)

Translating surfaces under flows by sub-affine-critical powers of Gauss curvature
by: Choi, Beomjun, et al.
Published: (2021)

Inverse mean curvature flow with outer obstacle
by: Xu, Kai
Published: (2024)

Codimension two mean curvature flow of entire graphs
by: Savas-Halilaj, Andreas, et al.
Published: (2024)

Mean convex mean curvature flow with free boundary
by: Edelen, Nick, et al.
Published: (2019)

Conformal solitons for the mean curvature flow in hyperbolic space
by: Mari, Luciano, et al.
Published: (2023)

Short-time existence of Lagrangian mean curvature flow
by: Ghosh, Spandan
Published: (2025)

Regularity of cylindrical singular sets of mean curvature flow
by: Sun, Ao, et al.
Published: (2025)

Continuous family of surfaces translating by powers of Gauss curvature
by: Choi, Beomjun, et al.
Published: (2024)

Stability of the generalized Lagrangian mean curvature flow in cotangent bundle
by: Jin, Xishen, et al.
Published: (2024)

Singularities of the Lagrangian mean curvature flow at the critical Lagrangian phase
by: Bhattacharya, Arunima, et al.
Published: (2025)

How close is too close for singular mean curvature flows?
by: Daniels-Holgate, Joshua, et al.
Published: (2025)

A Liouville type theorem for ancient Lagrangian mean curvature flows
by: Bhattacharya, Arunima, et al.
Published: (2024)

Decay order bound for mean curvature flow near compact singularities
by: Ghosh, Sourav
Published: (2025)

On weak inverse mean curvature flow and Minkowski-type inequalities in hyperbolic space
by: Harvie, Brian
Published: (2024)

Volume preserving mean curvature flow of round surfaces in asymptotically flat spaces
by: Sinestrari, Carlo, et al.
Published: (2025)

Convergence of Ricci flow and long-time existence of Harmonic map heat flow
by: Choi, Kyeongsu, et al.
Published: (2025)

Conformal metrics of the ball with constant $σ_k$-curvature and constant boundary mean curvature
by: Chen, Xuezhang, et al.
Published: (2025)

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

A capillary problem for spacelike mean curvature flow in a cone of Minkowski space
by: Klingenberg, Wilhelm, et al.
Published: (2023)

Existence of the classical solution to the fractional mean curvature flow with capillary-type boundary conditions
by: Fan, Linlin, et al.
Published: (2026)

Mean curvature flow through singularities
by: Haslhofer, Robert
Published: (2025)

The Dirichlet problem for Lagrangian mean curvature equation
by: Bhattacharya, Arunima
Published: (2020)

A gradient estimate for the linearized translator equation
by: Choi, Kyeongsu, et al.
Published: (2025)

The linearized translator equation and applications
by: Choi, Kyeongsu, et al.
Published: (2025)

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

An alternative solvability criterion for the Dirichlet problem for the minimal surface equation and an application to the mean curvature flow
by: Aiolfi, Ari J., et al.
Published: (2025)

On the classification of ancient solutions to curvature flows on the sphere
by: Bryan, Paul, et al.
Published: (2016)

Inverse curvature flow of closed Legendre curves
by: Kagaya, Takashi, et al.
Published: (2025)

Mean curvature flows with prescribed singular sets
by: Tsiamis, Raphael
Published: (2026)

Optimal regularity for Lagrangian mean curvature type equations
by: Bhattacharya, Arunima, et al.
Published: (2020)

Long time regularity of the $p$-Gauss curvature flow with flat side
by: Huang, G., et al.
Published: (2024)