Sur le spectre du laplacien des fibrés en tores qui s'effondrent

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We study the small eigenvalues of the Hodge Laplacian on collaping torus bundles with bounded curvature. In the first part of this dissertation, we consider examples of bundles on S^1 and T^2 with homogeneous structure. In the second part, we give a lower bound of the first non-zero eigenvalue of the 1-form Laplacian on principal torus bundles.
PhD thesis, 77 pages, in french. v3: cleanup and typographic corrections

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Differential Geometry, Spectral Theory, 58J50; 58C40

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http://salesiana.dossiersoluciones.com/handle/123456789/75469

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0506234
 http://arxiv.org/abs/math/0506234

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arXiv