A Lower Bound of the First Eigenvalue of a Closed Manifold with Negative Lower Bound of the Ricci Curvature

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Along the line of the Yang Conjecture, we give a new estimate on the lower bound of the first non-zero eigenvalue of a closed Riemannian manifold with negative lower bound of Ricci curvature in terms of the in-diameter and the lower bound of 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/123456789/71697

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0406562
 http://arxiv.org/abs/math/0406562

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arXiv