Mean curvature one surfaces in hyperbolic space, and their relationship to minimal surfaces in Euclidean space

DOI10.1007/BF02930762zbMath1029.53015arXiv0804.4198OpenAlexW2962745594WikidataQ126196137 ScholiaQ126196137MaRDI QIDQ1608515

Wayne Rossman

Publication date: 8 August 2002

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0804.4198

zbMATH Keywords

Bryant's representationminimal surfaces in Euclidean spaceconstant mean curvature one surfaces in hyperbolic spaceLawson's correspondence

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 (4)

Necessary conditions and nonexistence results for connected submanifolds in a Riemannian manifold ⋮ Conjugate plateau constructions in product spaces ⋮ Generalized Weingarten surfaces of harmonic type in hyperbolic 3-space ⋮ Minimal surfaces in three-dimensional Riemannian manifold associated with a second-order ODE

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