2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/75469We 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 correctionsDifferential GeometrySpectral Theory58J50; 58C40text