Complete translating solitons to the mean curvature flow in ℝ3 with nonnegative mean curvature

J Spruck, L Xiao - American Journal of Mathematics, 2020 - muse.jhu.edu
We prove that any complete immersed two-sided mean convex translating soliton
$\Sigma\subset {\Bbb R}^ 3$ for the mean curvature flow is convex. As a corollary it follows …

Mean curvature flow with generic initial data

O Chodosh, K Choi, C Mantoulidis, F Schulze - Inventiones mathematicae, 2024 - Springer
We show that the mean curvature flow of generic closed surfaces in\(\mathbb {R}^{3}\)
avoids asymptotically conical and non-spherical compact singularities. We also show that …

On K\" ahler Ricci shrinker surfaces

Y Li, B Wang - arXiv preprint arXiv:2301.09784, 2023 - arxiv.org
arXiv:2301.09784v1 [math.DG] 24 Jan 2023 Page 1 On Kähler Ricci shrinker surfaces Yu Li
and Bing Wang January 25, 2023 Abstract In this paper, we prove that any Kähler Ricci shrinker …

Asymptotic structure of self-shrinkers

L Wang - arXiv preprint arXiv:1610.04904, 2016 - arxiv.org
arXiv:1610.04904v1 [math.DG] 16 Oct 2016 Page 1 arXiv:1610.04904v1 [math.DG] 16 Oct
2016 ASYMPTOTIC STRUCTURE OF SELF-SHRINKERS LU WANG Abstract. We show that …

Mean curvature flow with multiplicity 2 convergence

J Chen, A Sun - arXiv preprint arXiv:2312.17457, 2023 - arxiv.org
arXiv:2312.17457v1 [math.DG] 29 Dec 2023 Page 1 MEAN CURVATURE FLOW WITH
MULTIPLICITY 2 CONVERGENCE JINGWEN CHEN, AO SUN Abstract. We construct a new …

Local entropy and generic multiplicity one singularities of mean curvature flow of surfaces

A Sun - arXiv preprint arXiv:1810.08114, 2018 - arxiv.org
In this paper we prove that the generic singularities of mean curvature flow of closed
embedded surfaces in $\mathbb R^ 3$ modeled by closed self-shrinkers with multiplicity has …

A report on the hypersymplectic flow

J Fine, C Yao - arXiv preprint arXiv:2001.11755, 2020 - arxiv.org
This article discusses a relatively new geometric flow, called the hypersymplectic flow. In the
first half of the article we explain the original motivating ideas for the flow, coming from both …

On Ilmanen's multiplicity-one conjecture for mean curvature flow with type-I mean curvature.

H Li, B Wang - Journal of the European Mathematical Society (EMS …, 2022 - ems.press
In this paper, we show that if the mean curvature of a closed smooth embedded mean
curvature flow in R3 is of type-I, then the rescaled flow at the first finite singular time …

Solitons to the Willmore flow

PT Ho, J Pyo - Advanced Nonlinear Studies, 2024 - degruyter.com
Solitons to the Willmore flow Skip to content Should you have institutional access? Here's how
to get it ... De Gruyter € EUR - Euro £ GBP - Pound $ USD - Dollar EN English Deutsch 0 …

Existence of mean curvature flow singularities with bounded mean curvature

M Stolarski - Duke Mathematical Journal, 2023 - projecteuclid.org
In “Curvature blow-up in perturbations of minimal cones evolving by mean curvature flow,”
Velázquez constructed a countable collection of mean curvature flow solutions in RN in …