• Isoperimetric Upper Bounds for the First Eigenvalue

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      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

       

      G Santhanam1

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

       
  • Proceedings – Mathematical Sciences | News

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