Nonmaximality of known extremal metrics on torus and Klein bottle

DOI10.1070/SM2013v204n12ABEH004358zbMath1290.58008arXiv1210.8122MaRDI QIDQ5412839

Mikhail Karpukhin

Publication date: 28 April 2014

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.8122

zbMATH Keywords

extremal metricsbipolar surfaceOtsuki toriLawson tau surface

Mathematics Subject Classification ID

Critical metrics (58E11)

Related Items (9)

A higher dimensional generalization of Hersch-Payne-Schiffer inequality for Steklov eigenvalues ⋮ Bipolar Lawson tau-surfaces and generalized Lawson tau-surfaces ⋮ Maximization of Laplace−Beltrami eigenvalues on closed Riemannian surfaces ⋮ Existence and regularity of maximal metrics for the first Laplace eigenvalue on surfaces ⋮ On branched minimal immersions of surfaces by first eigenfunctions ⋮ Isoperimetric inequalities for higher eigenvalues of the Laplace-Beltrami operator on surfaces ⋮ An isoperimetric inequality for the second non-zero eigenvalue of the Laplacian on the projective plane ⋮ An isoperimetric inequality for Laplace eigenvalues on the sphere ⋮ Generalized Lawson tori and Klein bottles

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