Curvature estimates for Weingarten hypersurfaces in Riemannian manifolds

被引：5

作者：

Gerhardt, Claus ^{[1
]}

机构：

[1] Univ Heidelberg, Inst Angew Math, D-69120 Heidelberg, Germany

来源：

ADVANCES IN CALCULUS OF VARIATIONS | 2008年 / 1卷 / 01期

关键词：

Curvature estimates; Weingarten hypersurface; curvature flows;

D O I：

10.1515/ACV.2008.004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove curvature estimates for general curvature functions. As an application we show the existence of closed, strictly convex hypersurfaces with prescribed curvature F, where the defining cone of F is Gamma(+). F is only assumed to be monotone, symmetric, homogeneous of degree 1, concave and of class C(m,alpha), m >= 4.

引用

页码：123 / 132

页数：10

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