Lower Bounds of the First Closed and Neumann Eigenvalues of Compact Manifolds with Positive Ricci Curvature

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We give new estimates on the lower bounds for the first closed or Neumann eigenvalue for a compact manifold with positive Ricci curvature in terms of the diameter and the lower bound of Ricci curvature. The results improve the previous estimates.
enhanced results, 29 pages

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Differential Geometry, Analysis of PDEs, Primary 58J50, 35P15; Secondary 53C21

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http://salesiana.dossiersoluciones.com/handle/123456789/71559

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0406296
 http://arxiv.org/abs/math/0406296

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arXiv