The first eigenvalue of the Laplacian on two dimensional Riemannian manifolds

DOI10.2748/tmj/1178229304zbMath0486.53035OpenAlexW1988564226WikidataQ115227206 ScholiaQ115227206MaRDI QIDQ1164863

Shin Ozawa

Publication date: 1982

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178229304

zbMATH Keywords

first eigenvalueLaplacianclosed surfaceresolvent kernels

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Global Riemannian geometry, including pinching (53C20)

Related Items

Spectra of manifolds less a small domain, Spectra of Some Domains in Compact Lie Groups and Their Applications, Spectra of domains with small spherical Neumann boundary, Torsional rigidity for regions with a Brownian boundary, Spectral convergence on degenerating surfaces, Heat content and inradius for regions with a Brownian boundary, On the torsion function with mixed boundary conditions, On the asymptotics of determinant of Laplacian at the principal boundary of the principal stratum of the moduli space of Abelian differentials, Singular Hadamard's variation of domains and eigenvalues of the Laplacian. II, Capacitary asymptotic expansion of the groundstate to second order

Cites Work

• Surgery of domain and the Green's function of the Laplacian
• Singular variation of domains and eigenvalues of the Laplacian
• Spectra of domains in compact manifolds
• Singular Hadamard's variation of domains and eigenvalues of the Laplacian. II
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