Uniqueness of immersed spheres in three-manifolds

DOI10.4310/jdg/1606964415zbMath1468.53050arXiv1603.07153OpenAlexW3110311622WikidataQ115164712 ScholiaQ115164712MaRDI QIDQ2213946

José A. Gálvez, Pablo Mira

Publication date: 4 December 2020

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

Full work available at URL: https://arxiv.org/abs/1603.07153

zbMATH Keywords

moving planes methodCMC surfacesweeping procedure

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40)

Related Items (17)

Hypersurfaces with prescribed curvatures in the de Sitter space ⋮ A quasiconformal Hopf soap bubble theorem ⋮ Delaunay surfaces of prescribed mean curvature in \(\mathrm{Nil}_3\) and \(\widetilde{SL_2}(\mathbb{R})\) ⋮ Rotational surfaces with prescribed mean curvature in \(\mathbb{H}^2 \times \mathbb{R}\) ⋮ Constant mean curvature spheres in homogeneous three-manifolds ⋮ Elliptic Weingarten hypersurfaces of Riemannian products ⋮ Complete surfaces of constant anisotropic mean curvature ⋮ Rotational elliptic Weingarten surfaces in \(\mathbb{S}^2\times\mathbb{R}\) and the Hopf problem ⋮ Uniqueness of constant mean curvature spheres ⋮ Quasiconformal Gauss maps and the Bernstein problem for Weingarten multigraphs ⋮ Elliptic Weingarten surfaces: singularities, rotational examples and the halfspace theorem ⋮ Surfaces of prescribed linear Weingarten curvature in ⋮ The global geometry of surfaces with prescribed mean curvature in ℝ³ ⋮ Rotational surfaces of prescribed Gauss curvature in \(\mathbb{R}^3\) ⋮ On the umbilic set of immersed surfaces in three-dimensional space forms ⋮ Properly embedded surfaces with prescribed mean curvature in \(\mathbb{H}^2 \times \mathbb{R}\) ⋮ A Delaunay-type classification result for prescribed mean curvature surfaces in \(\mathbb{M}^2(\kappa) \times \mathbb{R} \)

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