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Linear approximation of the first eigenvalue on compact manifolds

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Abstract

For compact, connected Riemannian manifolds with Ricci curvature bounded below by a constant, what is the linear approximation of the first eigenvalue of Laplacian? The answer is presented with computer assisted proof and the result is optimal in certain sense.

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Authors and Affiliations

  1. Department of Mathematics, Beijing Normal University, 100875, Beijing, China

    Mufa Chen & Liang Yao

  2. Dipartimento di Matematica, Università “La Sapienza”, 00815, Rome, Italy

    E. Scacciatelli

Authors
  1. Mufa Chen
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  2. E. Scacciatelli
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  3. Liang Yao
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Correspondence to Mufa Chen.

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Chen, M., Scacciatelli, E. & Yao, L. Linear approximation of the first eigenvalue on compact manifolds. Sci. China Ser. A-Math. 45, 450–461 (2002). https://doi.org/10.1007/BF02872333

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  • DOI: https://doi.org/10.1007/BF02872333

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