MEAN CURVATURE FLOW OF GRAPHS IN ∑1×∑2

• 来源期刊: 偏微分方程（英文版）
• 学科: 数学
• 关键词: Mean curvature flow m-dimensional graphs.
• 年，卷（期）: 2003,（3）
• 页码范围: 255-265
• 页数: 11页
• 分类号: O186.16
• 语种: 英文

摘要

Let ∑1 and ∑2 be m and n dimensional Riemannian manifolds of constant curvature respectively. We assume that w is a unit constant m-form in ∑1 with respect to witch is a graph.We set v=<e1∧…∧em,w>where{e1,…,em}is a normal frame on ∑t Suppose that ∑0 has bounded curvature. If v(x, 0) ≥ v0 ＞√2/2 for all x, then the mean curvature flow has a global solution F under some suitable conditions on the curvatrue of ∑1 and ∑2.