$L^2$ cohomology of Manifolds with flat ends
Differential Geometry
2007-05-23 v1 Analysis of PDEs
Abstract
We give a topological interpretation of the space of -harmonic forms on Manifold with flat ends. It is an answer to an old question of J. Dodziuk. We also give a Chern-Gauss-Bonnet formula for the -Euler characteristic of some of these Manifolds. These results are applications of general theorems on complete Riemannian Manifold whose Gauss-Bonnet operator is non-parabolic at infinity.
Keywords
Cite
@article{arxiv.math/0111070,
title = {$L^2$ cohomology of Manifolds with flat ends},
author = {Gilles Carron},
journal= {arXiv preprint arXiv:math/0111070},
year = {2007}
}
Comments
29 pages