The spectrum of the Laplacian on forms over flat manifolds
Differential Geometry
2017-10-26 v1 Analysis of PDEs
Spectral Theory
Abstract
In this article we prove that the spectrum of the Laplacian on -forms over a noncompact flat manifold is always a connected closed interval of the nonnegative real line. The proof is based on a detailed decomposition of the structure of flat manifolds.
Keywords
Cite
@article{arxiv.1710.09066,
title = {The spectrum of the Laplacian on forms over flat manifolds},
author = {Nelia Charalambous and Zhiqin Lu},
journal= {arXiv preprint arXiv:1710.09066},
year = {2017}
}