A Canonical Neighborhood Theorem for Mean Curvature Flow in Higher Codimension

被引：0

作者：

Naff, Keaton ^{[1
]}

机构：

[1] Columbia Univ, Dept Math, New York, NY 10027 USA

来源：

INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2023年 / 2023卷 / 13期

关键词：

CONVEX ANCIENT SOLUTIONS; RICCI FLOW; UNIQUENESS; SINGULARITIES; SURFACES; SURGERY;

D O I：

10.1093/imrn/rnac163

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In dimensions n >= 5, we prove a canonical neighborhood theorem for the mean curvature flow of compact n-dimensional submanifolds in R-N satisfying a pinching condition vertical bar A vertical bar(2) < c vertical bar H vertical bar(2) for c = min{3(n+1)/2n(n+2), 1/n-2}.

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页码：11499 / 11536

页数：38

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