Upper bounds for the first eigenvalue of the operator Lr and some applications

被引：11

作者：

Alencar, H ^{[1
]}

Do Carmo, M

Marques, F

机构：

[1] Univ Fed Alagoas, Dept Matemat, BR-57072900 Maceio, AL, Brazil

[2] IMPA, BR-22460320 Rio De Janeiro, Brazil

[3] Cornell Univ, Dept Math, Ithaca, NY 14853 USA

来源：

ILLINOIS JOURNAL OF MATHEMATICS | 2001年 / 45卷 / 03期

关键词：

D O I：

10.1215/ijm/1258138155

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We obtain upper bounds for the first eigenvalue of the linearized operator L-r of the r-mean curvature of a compact manifold immersed in a space of constant curvature delta. By the same method, we obtain an upper bound for the first eigenvalue of the stability operator associated to L-r when delta < 0.

引用

页码：851 / 863

页数：13