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

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

2005-06-13

arxiv.org/abs/math/0506234v3

Mathematics

Differential Geometry

PhD thesis, 77 pages, in french. v3: cleanup and typographic corrections

Scientific paper

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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