Eigenvalues of the Laplacian under the Ricci Flow

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We derive, under a technical assumption, the first variation formula for the eigenvalues of the Laplacian on a closed manifold evolving by the Ricci flow and give some applications.
13 pages

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Differential Geometry, Analysis of PDEs, 53C21; 58J50; 53C44

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http://salesiana.dossiersoluciones.com/handle/123456789/124628

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0702740
 http://arxiv.org/abs/math/0702740
 Rendiconti di Matematica, Serie VII Volume 27, Roma (2007)

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arXiv