EXISTENCE OF MEAN CURVATURE FLOW SINGULARITIES WITH BOUNDED MEAN CURVATURE

被引：0

作者：

Stolarski, Maxwell ^{[1
]}

机构：

[1] Arizona State Univ, Sch Math & Stat Sci, Tempe, AZ 85281 USA

来源：

DUKE MATHEMATICAL JOURNAL | 2023年 / 172卷 / 07期

关键词：

MINIMAL HYPERSURFACES; EXTENSION; SURFACES;

D O I：

10.1215/00127094-2023-0005

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In "Curvature blow-up in perturbations of minimal cones evolving by mean curvature flow," Velazquez constructed a countable collection of mean curvature flow solutions in RN in every dimension N > 8. Each of these solutions becomes singular in finite time at which time the second fundamental form blows up. In contrast, we confirm here that, in every dimension N > 8, infinitely many of these solutions have uniformly bounded mean curvature.

引用

页码：1235 / 1292

页数：58

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