Rotational hypersurfaces of prescribed mean curvature

DOI10.1016/j.jde.2019.09.009zbMath1431.53009arXiv1902.09405OpenAlexW2976429802WikidataQ127210107 ScholiaQ127210107MaRDI QIDQ2285479

Antonio Bueno, Pablo Mira, José A. Gálvez

Publication date: 8 January 2020

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

Full work available at URL: https://arxiv.org/abs/1902.09405

zbMATH Keywords

rotational hypersurfacesprescribed (non-constant) mean curvature

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Ordinary differential equations and systems on manifolds (34C40)

Related Items (15)

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 \(\mathbb{H}^2 \times \mathbb{R}\) ⋮ Delaunay surfaces of prescribed mean curvature in Berger spheres ⋮ Radial solutions for equations of Weingarten type ⋮ Compact surfaces with boundary with prescribed mean curvature depending on the Gauss map ⋮ 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 \(\mathbb{R}^3\) ⋮ 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 ⋮ Half-space theorems for properly immersed surfaces in \(\mathbb{R}^3\) with prescribed mean curvature ⋮ Rotational hypersurfaces with constant Gauss-Kronecker curvature

Cites Work

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• Rotational symmetry of Weingarten spheres in homogeneous three-manifolds
• Uniqueness theorems for surfaces in the large. I, II, III, IV, V

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