Finiteness of Small Eigenvalues of Geometrically Finite Rank one Locally Symmetric Manifolds
Abstract
Let M be a geometrically finite rank one locally symmetric manifolds. We prove that the spectrum of the Laplace operator on M is finite in a small interval which is optimal.
- Publication:
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arXiv e-prints
- Pub Date:
- November 2018
- DOI:
- arXiv:
- arXiv:1811.06357
- Bibcode:
- 2018arXiv181106357L
- Keywords:
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- Mathematics - Spectral Theory;
- Mathematics - Geometric Topology
- E-Print:
- Presentation changed according to referee's comments, to appear in MRL