On spectra of hyperbolic surfaces without thin handles

2019/01/05 by Dubashinskiy, Mikhail
#35P15 #58J50 #Analysis of PDEs (math.AP) #FOS: Mathematics #Spectral Theory (math.SP)

paper · doi:10.48550/arxiv.1901.01382

Abstract

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

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