The first eigenvalue of Laplace operator under powers of mean curvature flow

• 作 者: Zhao Liang
• 机 构: ZhejiangUniv
• 出 处: 中国科学：数学英文版
• 发表日期: 2010年7期
• 关键词: LAPLACE OPERATOR H k -flow EIGENVALUE MONOTONICITY Laplace operatorH k -floweige

In this paper, we derive the evolution equation for the first eigenvalue of Laplace operator along powers of mean curvature flow. Considering a compact, strictly convex n-dimensional surface M without boundary, which is smoothly immersed in R n+1 , we pro