• Isoperimetric Upper Bounds for the First Eigenvalue

• # Fulltext

Permanent link:
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

Current Issue
Volume 129 | Issue 5
November 2019

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Posted on July 25, 2019

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