Mean curvature flow with Dirichlet boundary conditions in Riemannian manifolds with symmetries

被引：3
作者：
Priwitzer, B
机构：
[1] Math Inst, D-72076 Tubingen, Germany
[2] Max Planck Inst, D-04103 Leipzig, Germany
来源：
ANNALS OF GLOBAL ANALYSIS AND GEOMETRY | 2003年 / 23卷 / 02期
关键词：
mean curvature flow; Riemannian manifold; conformal vector field;
D O I：
10.1023/A:1022417312834
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Consider a hypermanifold M-0 of a Riemannian manifold N whose Ricci curvature is bounded from below. If M-0 is transversal to a conformal vector field on N, then conditions are given, such that the mean curvature evolution of M-0 with Dirichlet boundary conditions has a solution for all times.
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页码：157 / 171
页数：15
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