Constant mean curvature spheres in homogeneous three-spheres

DOI10.4310/jdg/1645207520zbMath1489.53014arXiv1308.2612OpenAlexW1596527450WikidataQ114020809 ScholiaQ114020809MaRDI QIDQ2135649

Antonio Ros, Pablo Mira, Joaquín Pérez, William Hamilton III Meeks

Publication date: 9 May 2022

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1308.2612

zbMATH Keywords

minimal surfaceconstant mean curvaturecurvature estimatesindex of stabilityhomogeneous three-manifoldmetric Lie groupleft invariant metric\(H\)-potentialHopf uniquenessleft invariant Gauss mapnullity of stability

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)

Related Items (8)

A Hopf theorem for non-constant mean curvature and a conjecture of A. D. Alexandrov ⋮ Constant mean curvature spheres in homogeneous three-manifolds ⋮ Compact stable surfaces with constant mean curvature in Killing submersions ⋮ Isoperimetric domains of large volume in homogeneous three-manifolds ⋮ Existence of constant mean curvature 2‐Spheres in Riemannian 3‐spheres ⋮ Uniqueness of constant mean curvature spheres ⋮ On the two-systole of real projective spaces ⋮ Min-max theory for constant mean curvature hypersurfaces

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