Collapsing and the Differential Form Laplacian : The Case of a Smooth Limit Space
Differential Geometry
2007-05-23 v5
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.
Cite
@article{arxiv.math/9902111,
title = {Collapsing and the Differential Form Laplacian : The Case of a Smooth Limit Space},
author = {John Lott},
journal= {arXiv preprint arXiv:math/9902111},
year = {2007}
}
Comments
Final version of the case of a smooth limit space. The case of a singular limit space will appear separately