Surfaces of constant curvature in \(\mathbb R^3\) with isolated singularities

DOI10.1016/j.aim.2012.11.019zbMath1290.53009arXiv1007.2523OpenAlexW1987341249WikidataQ56885365 ScholiaQ56885365MaRDI QIDQ390995

José A. Gálvez, Laurent Hauswirth, Pablo Mira

Publication date: 9 January 2014

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1007.2523

zbMATH Keywords

harmonic mapsMonge-Ampère equationconical singularitiesisolated singularitiesgeometric Cauchy problempeaked spheresurfaces of constant curvature

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10)

Related Items (11)

A Classification of Isolated Singularities of Elliptic Monge‐Ampére Equations in Dimension Two ⋮ Entire solutions of the degenerate Monge-Ampère equation with a finite number of singularities ⋮ The Gauss map and second fundamental form of surfaces in a Lie group ⋮ Isolated singularities of graphs in warped products and Monge-Ampère equations ⋮ Elliptic Weingarten surfaces: singularities, rotational examples and the halfspace theorem ⋮ Rotational surfaces of prescribed Gauss curvature in \(\mathbb{R}^3\) ⋮ Flat fronts in hyperbolic 3-space with prescribed singularities ⋮ Capillary surfaces inside polyhedral regions ⋮ Spherical Surfaces ⋮ Curvature measures and soap bubbles beyond convexity ⋮ Rigidity of minimal Lagrangian diffeomorphisms between spherical cone surfaces

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