Upper bounds for the first eigenvalue of a Jacobi type operator via anisotropic mean curvatures

DOI10.1007/S00025-015-0514-7zbMath1359.53008OpenAlexW2252754137MaRDI QIDQ511816

Fábio R. dos Santos, Marco Antonio L. Velásquez, Henrique Fernandes de Lima, Jonatan Floriano da Silva

Publication date: 22 February 2017

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

Full work available at URL: https://doi.org/10.1007/s00025-015-0514-7

zbMATH Keywords

geodesic sphereWulff shape\(k\)th anisotropic mean curvaturesfirst positive eigenvalue of Jacobi operator

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global Riemannian geometry, including pinching (53C20)

Related Items (1)

Anisotropic eigenvalues upper bounds for hypersurfaces in weighted Euclidean spaces

Cites Work

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