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.
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页码：279 / 288
页数：9
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