Codimension two surfaces pinched by normal curvature evolving by mean curvature flow

Charles Baker; Huy The Nguyen

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Codimension two surfaces pinched by normal curvature evolving by mean curvature flow

机译：通过均线曲率流动通过正常曲率捏合的分数两个表面

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Abstract

We prove that codimension two surfaces satisfying a nonlinear curvature condition depending on normal curvature smoothly evolve by mean curvature flow to round points.

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机译：<！[cdata [ Abstract

我们证明了根据正常曲率的两个表面通过平均曲率流向圆点顺畅地发展。 ]]>

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来源
《Annales de l'Institut Henri Poincare. Analye non lineaire》 |2017年第6期|共12页
作者
Charles Baker; Huy The Nguyen;
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作者单位

Australian e-Health Research Centre Health and Biosecurity CSIRO;

School of Mathematical Sciences Queen Mary University of London;

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原文格式 PDF
正文语种 eng
中图分类数学分析;
关键词
Curvature flow; Mean curvature; Nonlinear parabolic equations;

机译：曲率流;平均曲率;非线性抛物方程;

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1. Codimension two surfaces pinched by normal curvature evolving by mean curvature flow [J] . Charles Baker, Huy The Nguyen Annales de l'Institut Henri Poincare. Analye non lineaire . 2017,第6期

机译：通过均线曲率流动通过正常曲率捏合的分数两个表面
2. Pinched ancient solutions to the high codimension mean curvature flow [J] . Lynch Stephen, Huy The Nguyen Calculus of variations and partial differential equations . 2021,第1期

机译：将古代解决方案夹紧在高分子中的曲率曲率
3. Some Sharp Estimates for Convex Hypersurfaces of Pinched Normal Curvature [J] . K. Drach Journal of Mathematical Physics, Analysis, Geometry . 2015,第2期

机译：捏正曲率凸超曲面的一些尖锐估计
4. Some Recent Progress on Mean Curvature Flow of Arbitrary Codimension [C] . Kefeng Liu, Hongwei Xu, Entao Zhao International Congress of Chinese Mathematicians . 2016

机译：关于任意曲线压力平均曲率流动的最新进展
5. Planarity and the Mean Curvature Flow of Pinched Submanifolds in Higher Codimension [D] . Naff, Keaton. 2021

机译：较高规范中夹紧子植物的平面性和平均曲率流动
6. GEODESIC CURVATURE FLOW ON SURFACES FOR AUTOMATIC SULCAL DELINEATION [O] . Anand A. Joshi, David W. Shattuck, Hanna Damasio, -1

机译：测地曲率流在表面上用于自动脑沟圈定
7. Minimal surfaces in a unit sphere pinched by intrinsic curvature and normal curvature [O] . Yang, Dan 2017

机译：单位球体中的最小曲面由固有曲率和正常曲率
8. Bilipschitz Rough Normal Coordinates for Surfaces with an L(1) Curvature Bound [R] . Fu, J. H. G. 1997

机译：具有L（1）曲率束缚的曲面的Bilipschitz粗糙法线坐标

Codimension two surfaces pinched by normal curvature evolving by mean curvature flow

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