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
收藏
页码：453 / 473
页数：21
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