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Upper Bounds for the First Eigenvalue of the Laplacian on Non-Orientable Surfaces

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Publication:4560533
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DOI10.1093/imrn/rnv345zbMath1404.58045arXiv1503.08493OpenAlexW2231042379MaRDI QIDQ4560533

Mikhail Karpukhin

Publication date: 12 December 2018

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.08493


Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50)


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Degenerating sequences of conformal classes and the conformal Steklov spectrum, The first eigenvalue of the Laplacian on orientable surfaces, Extremal metrics for combinations of Laplace eigenvalues and minimal surfaces into ellipsoids, Prescription of finite Dirichlet eigenvalues and area on surface with boundary, Index of minimal spheres and isoperimetric eigenvalue inequalities, On branched minimal immersions of surfaces by first eigenfunctions, On the Yang-Yau inequality for the first Laplace eigenvalue, Isoperimetric inequalities for higher eigenvalues of the Laplace-Beltrami operator on surfaces, An isoperimetric inequality for Laplace eigenvalues on the sphere, Existence of metrics maximizing the first eigenvalue on non-orientable surfaces, Extremal metrics for the Paneitz operator on closed four-manifolds



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