On the first Laplacian eigenvalue and the center of gravity of compact hypersurfaces |
| |
| Authors: | A R Veeravalli |
| |
| Institution: | (1) Département de Mathématiques, Université d'Evry-Val d'Essonne, Boulevard des Coquibus, F-91025 Evry cedex, France, e-mail: Alain.Veeravalli@maths.univ-evry.fr, FR |
| |
| Abstract: | For a closed hypersurface in a space form, this work provides some sharp upper bounds for its first positive Laplacian eigenvalue.
These bounds are extrinsic as they rely on the mean curvatures and center(s) of gravity of the hypersurface.
Received: May 22, 2000 |
| |
| Keywords: | , Hypersurface, space form, center of gravity, Laplacian eigenvalue, mean curvatures, |
| 本文献已被 SpringerLink 等数据库收录！ |
|
