A first eigenvalue estimate for embedded hypersurfaces

被引：2

作者：

Ho, Pak Tung ^{[1
]}

机构：

[1] Purdue Univ, Dept Math, W Lafayette, IN 47907 USA

来源：

DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS | 2008年 / 26卷 / 03期

关键词：

eigenvalues; hypersurfaces;

D O I：

10.1016/j.difgeo.2007.11.019

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Suppose that M is a compact orientable hypersurface embedded in a compact n-dimensional orientable Riemannian manifold N. Suppose that the Ricci curvature of N is bounded below by a positive constant k. We show that 2 lambda(1) > k - (n - 1) max(M) vertical bar H vertical bar where lambda(1) is the first eigenvalue of the Laplacian of M and H is the mean curvature of M. (C) 2007 Elsevier B.V. All rights reserved.

引用

页码：273 / 276

页数：4

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