Spectrum of compact manifolds with high genus

Details Spectrum of compact manifolds with high genus Spectrum of compact manifolds with high genus

1998-04-21

arxiv.org/abs/math/9804094v1

Mathematics

Spectral Theory

33 pages. Submitted to Israel J. Math

Scientific paper

In this paper we study the behavior of the spectrum of a compact, connected
Riemannian manifold $(M,g)$ of dimension $d \ge 2$, when we add an increasing
number of increasingly small handles. No assumptions on any of the curvatures
are needed.

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