CURVATURE ESTIMATES FOR MINIMAL HYPERSURFACES IN SINGULAR SPACES

被引：9

作者：

DIERKES, U

机构：

[1] Sonderforschungsbereich 256, Institut für Angewandte Mathematik, Universität Bonn, Bonn, D-53115

来源：

INVENTIONES MATHEMATICAE | 1995年 / 122卷 / 03期

关键词：

D O I：

10.1007/BF01231452

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We here prove pointwise curvature estimates for minimal hypersurfaces in singular spaces, using the integral curvature estimate and a generalized ''Simons'' inequality which were established recently. A further basic ingredient is a new Sobolev type inequality for stationary hypersurfaces.

引用

页码：453 / 473

页数：21

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