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arXiv · 1710.09066

The spectrum of the Laplacian on forms over flat manifolds

Nelia Charalambous·Zhiqin Lu
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Abstract

In this article we prove that the spectrum of the Laplacian on $k$-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.

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Nelia Charalambous, Zhiqin Lu. 2017-10-25. The spectrum of the Laplacian on forms over flat manifolds. https://arxiv.org/abs/1710.09066

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