• Isoperimetric Upper Bounds for the First Eigenvalue

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    • 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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      Posted on July 25, 2019

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