On the first eigenvalue of the Laplacian on compact surfaces of genus three

DOI10.2969/jmsj/85898589zbMath1496.35268arXiv2010.14857OpenAlexW3204319958MaRDI QIDQ2165750

Antonio Ros

Publication date: 23 August 2022

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.14857

zbMATH Keywords

upper boundsfirst eigenvalueRiemannian surfacescomplex curvesextremal eigenvalues and minimal surfaces

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Elliptic equations on manifolds, general theory (58J05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Spectral theory; eigenvalue problems on manifolds (58C40)

Related Items (1)

First eigenvalue of the Laplacian on compact surfaces for large genera

Cites Work

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