Index estimates for surfaces with constant mean curvature in 3-dimensional manifolds

DOI10.1007/s00526-020-01855-wzbMath1460.53052arXiv1901.00944OpenAlexW3099610698WikidataQ115386989 ScholiaQ115386989MaRDI QIDQ2217806

Han Hong, Nicolau S. Aiex

Publication date: 14 January 2021

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.00944

zbMATH Keywords

three-dimensional manifoldsindex estimatesconstant mean curvatures

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Optimization of shapes other than minimal surfaces (49Q10) Variational methods for eigenvalues of operators (49R05)

Related Items (6)

Index estimates for closed minimal submanifolds of the sphere ⋮ On the genus and area of constant mean curvature surfaces with bounded index ⋮ CMC hypersurfaces with bounded Morse index ⋮ Index estimates for free boundary \(f\)-minimal hypersurfaces ⋮ Capillary surfaces: stability, index and curvature estimates ⋮ Morse index bounds for minimal submanifolds

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