A Lower Bound of The First Eigenvalue of a Closed Manifold with Positive Ricci Curvature

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We give an estimate on the lower bound of the first non-zero eigenvalue of the Laplacian for a closed Riemannian manifold with positive Ricci curvature in terms of the in-diameter and the lower bound of the Ricci curvature.

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

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http://salesiana.dossiersoluciones.com/handle/123456789/71639

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0406437
 http://arxiv.org/abs/math/0406437

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arXiv