Spacelike self-similar shrinking solutions of the mean curvature flow in pseudo-Euclidean spaces

被引：10

作者：

Adames, Marcio Rostirolla ^{[1
]}

机构：

[1] UTFPR, Dept Acad Matemat, BR-80230901 Curitiba, PR, Brazil

来源：

COMMUNICATIONS IN ANALYSIS AND GEOMETRY | 2014年 / 22卷 / 05期

关键词：

MINKOWSKI SPACE; SINGULARITIES; CONSTRUCTION; CODIMENSION; SURFACES;

D O I：

10.4310/CAG.2014.v22.n5.a6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

I classify spacelike self-similar shrinking solutions of the mean curvature flow in pseudo-Euclidean space in arbitrary codimension, if the mean curvature vector is not a null vector and the principal normal vector is parallel in the normal bundle. Moreover, I exclude the existence of such self-shrinkers in several cases. The classification is analogous to the existing classification in the Euclidean case [20, 27].

引用

页码：897 / 929

页数：33

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