Complete stable CMC surfaces with empty singular set in Sasakian sub-Riemannian 3-manifolds

DOI10.1007/S00526-011-0412-0zbMath1235.53036arXiv1007.2597OpenAlexW2001733146WikidataQ115387528 ScholiaQ115387528MaRDI QIDQ663328

César Rosales

Publication date: 14 February 2012

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

Full work available at URL: https://arxiv.org/abs/1007.2597

zbMATH Keywords

Webster scalar curvatureSasakian sub-Riemannian 3-manifoldsstable constant mean curvature surfaces

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Sub-Riemannian geometry (53C17)

Related Items (9)

The regularity of Euclidean Lipschitz boundaries with prescribed mean curvature in three-dimensional contact sub-Riemannian manifolds ⋮ Area-stationary and stable surfaces of class \(C^1\) in the sub-Riemannian Heisenberg group \(\mathbb{H}^1\) ⋮ Existence, characterization and stability of Pansu spheres in sub-Riemannian 3-space forms ⋮ Area-minimizing horizontal graphs with low regularity in the sub-Finsler Heisenberg group \({\mathbb{H}}^1\) ⋮ An instability criterion for volume-preserving area-stationary surfaces with singular curves in sub-Riemannian 3-space forms ⋮ First and second variation formulae for the sub-Riemannian area in three-dimensional pseudo-Hermitian manifolds ⋮ Free boundary stable hypersurfaces in manifolds with density and rigidity results ⋮ Unnamed Item ⋮ Strongly stable surfaces in sub-Riemannian 3-space forms

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