Sur le spectre du laplacien des fibr\'es en tores qui s'effondrent

Research paper by Pierre Jammes

Indexed on: 22 Aug '05Published on: 22 Aug '05Published in: Mathematics - Differential Geometry


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.