On the Yang-Yau inequality for the first Laplace eigenvalue

DOI10.1007/s00039-019-00518-zzbMath1429.58040arXiv1902.03473OpenAlexW2988668683WikidataQ126840508 ScholiaQ126840508MaRDI QIDQ2009030

Mikhail Karpukhin

Publication date: 27 November 2019

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.03473

zbMATH Keywords

harmonic mapsharmonic sequenceYang-Yau inequalityextremal metrics for eigenvaluesfirst Laplace eigenvalue

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Harmonic maps, etc. (58E20)

Related Items

Complexity of parabolic systems, On the first eigenvalue of the Laplacian on compact surfaces of genus three, The first eigenvalue of the Laplacian on orientable surfaces, Extremal metrics for combinations of Laplace eigenvalues and minimal surfaces into ellipsoids, Some results on higher eigenvalue optimization, Index of minimal spheres and isoperimetric eigenvalue inequalities

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