Discrete spectrum and Weyl's asymptotic formula for incomplete manifolds
Differential Geometry
2008-07-01 v1
Abstract
Motivated by recent interest in the spectrum of the Laplacian of incomplete surfaces with isolated conical singularities, we consider more general incomplete m-dimensional manifolds with singularities on sets of codimension at least 2. With certain restrictions on the metric, we establish that the spectrum is discrete and satisfies Weyl's asymptotic formula.
Cite
@article{arxiv.0806.4655,
title = {Discrete spectrum and Weyl's asymptotic formula for incomplete manifolds},
author = {Jun Masamune and Wayne Rossman},
journal= {arXiv preprint arXiv:0806.4655},
year = {2008}
}