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

Pierre Jammes
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Abstract

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.

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Pierre Jammes. 2005-08-22. Sur le spectre du laplacien des fibrés en tores qui s'effondrent. https://arxiv.org/abs/math/0506234

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