On the Spectra of Hyperbolic Surfaces Without Thin Handles


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Abstract

We obtain a sharp lower bound on the eigenvalues of the Laplace–Beltrami operator on a hyperbolic surface with injectivity radius bounded from below.

About the authors

M. B. Dubashinskiy

Chebyshev Laboratory, St.Petersburg State University

Author for correspondence.
Email: mikhail.dubashinskiy@gmail.com
Russian Federation, St.Petersburg

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