Collapsing and the Differential Form Laplacian : The Case of a Singular Limit Space
Differential Geometry
2007-05-23 v1
Abstract
In this paper, which is a sequel to math.DG/9902111, we analyze the limit of the p-form Laplacian under a collapse with bounded sectional curvature and bounded diameter to a singular limit space. As applications, we give results about upper and lower bounds on the j-th eigenvalue of the p-form Laplacian, in terms of sectional curvature and diameter.
Keywords
Cite
@article{arxiv.math/0201289,
title = {Collapsing and the Differential Form Laplacian : The Case of a Singular Limit Space},
author = {John Lott},
journal= {arXiv preprint arXiv:math/0201289},
year = {2007}
}
Comments
25 pages