Small eigenvalues of surfaces of finite type

DOI10.1112/S0010437X17007291zbMath1401.35216arXiv1506.06541OpenAlexW3101973795MaRDI QIDQ4978619

Henrik Matthiesen, Sugata Mondal, Werner Ballmann

Publication date: 25 August 2017

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.06541

zbMATH Keywords

Euler characteristicLaplace operatorsmall eigenvalues

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) PDEs on manifolds (35R01)

Related Items (8)

Explicit spectral gaps for random covers of Riemann surfaces ⋮ Hecke triangle groups, transfer operators and Hausdorff dimension ⋮ Density of resonances for covers of Schottky surfaces ⋮ On the analytic systole of Riemannian surfaces of finite type ⋮ On the spectrum of differential operators under Riemannian coverings ⋮ On the spectrum of certain Hadamard manifolds ⋮ Topological properties of eigenfunctions of Riemannian surfaces ⋮ Cheeger bounds on spin-two fields

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