Upper bounds of the first eigenvalue of closed hypersurfaces by the quotient area/volume

被引：0

作者：

Fernando Giménez

Vicente Miquel

J. Javier Orengo

机构：

[1] Universidad Politécnica de Valencia,Dpto de Matemáticas

[2] Universidad de Valencia,Dpto de Geometría y Topología

[3] Universidad de Castilla La Mancha,Dpto de Matemática Aplicada

来源：

Archiv der Mathematik | 2004年 / 83卷

关键词：

53C42; 52C21;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper we obtain, for compact hypersurfaces M embedded into Hadamard manifolds, an upper sharp bound of the first closed eigenvalue. This bound depends on the isoperimetric quotient Volume(M)/Volume(Ω), where Ω is the domain enclosed by M. More precise bounds are given when the ambient space is the complex or quaternionic hyperbolic space.

引用

页码：279 / 288

页数：9

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