Collapsing and the Differential Form Laplacian : The Case of a Smooth Limit Space
arXiv:math/9902111
Abstract
We analyze the limit of the p-form Laplacian under a collapse, with bounded sectional curvature and bounded diameter, to a smooth limit space. As an application, we characterize when the p-form Laplacian has small positive eigenvalues in a collapsing sequence.
Final version of the case of a smooth limit space. The case of a singular limit space will appear separately