• Isoperimetric Upper Bounds for the First Eigenvalue

• Fulltext

https://www.ias.ac.in/article/fulltext/pmsc/122/03/0375-0384

• Keywords

Hypersurface; center of mass; simply connected space form; Laplacian; eigenvalue.

• Abstract

Let 𝑀 be a closed hypersurface in a simply connected space form $\mathbb{M}(\kappa)$ where $\kappa=0,1$ or $-1$. In this paper, we give two isoperimetric upper bounds for the first eigenvalue of the Laplacian of 𝑀.

• Author Affiliations

1. Department of Mathematics and Statistics, Indian Institute of Technology, Kanpur 208 016, India

• Proceedings – Mathematical Sciences

Volume 130, 2020
All articles
Continuous Article Publishing mode

• Editorial Note on Continuous Article Publication

Posted on July 25, 2019