The global geometry of surfaces with prescribed mean curvature in ℝ³

DOI10.1090/tran/8041zbMath1440.53007arXiv1802.08146OpenAlexW2990555557MaRDI QIDQ5113222

José A. Gálvez, Pablo Mira, Antonio Bueno

Publication date: 3 June 2020

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.08146

zbMATH Keywords

curvature estimatesmarginally outer trapped surfacesend of a surfaceself-translating solitonslinear stability operatorhorizontal diameter estimates

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 (16)

Helicoidal hypersurfaces and graphs in conformally flat spaces ⋮ Delaunay surfaces of prescribed mean curvature in \(\mathrm{Nil}_3\) and \(\widetilde{SL_2}(\mathbb{R})\) ⋮ Rotational surfaces with prescribed mean curvature in \(\mathbb{H}^2 \times \mathbb{R}\) ⋮ Rotational symmetry of Weingarten spheres in homogeneous three-manifolds ⋮ Delaunay surfaces of prescribed mean curvature in Berger spheres ⋮ Radial solutions for equations of Weingarten type ⋮ The Björling problem for prescribed mean curvature surfaces in \(\mathbb{R}^3\) ⋮ Complete surfaces of constant anisotropic mean curvature ⋮ Compact surfaces with boundary with prescribed mean curvature depending on the Gauss map ⋮ Quasiconformal Gauss maps and the Bernstein problem for Weingarten multigraphs ⋮ Surfaces of prescribed linear Weingarten curvature in ⋮ Rotational surfaces of prescribed Gauss curvature in \(\mathbb{R}^3\) ⋮ 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 \(\mathbb{M}^2(\kappa) \times \mathbb{R} \) ⋮ Invariant hypersurfaces with linear prescribed mean curvature ⋮ The translating soliton equation

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