A Lower Bound of the First Dirichlet Eigenvalue of a Compact Manifold with Positive Ricci Curvature

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We give a new estimate on the lower bound for the first Dirichlet eigenvalue for a compact manifold with positive Ricci curvature in terms of the in-diameter and the lower bound of the Ricci curvature. The result improves the previous estimates.
16 pages, title changed

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

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http://salesiana.dossiersoluciones.com/handle/123456789/71463

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0406120
 http://arxiv.org/abs/math/0406120

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arXiv