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

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dc.creatorRossman, Wayne
dc.date2008-04-26
dc.date.accessioned2026-07-07T09:35:28Z
dc.date.available2026-07-07T09:35:28Z
dc.descriptionWe describe local similarities and global differences between minimal surfaces in Euclidean 3-space and constant mean curvature 1 surfaces in hyperbolic 3-space. We also describe how to solve global period problems for constant mean curvature 1 surfaces in hyperbolic 3-space, and we give an overview of recent results on these surfaces. We include computer graphics of a number of examples.
dc.identifierhttps://arxiv.org/abs/0804.4198
dc.identifierhttp://arxiv.org/abs/0804.4198
dc.identifierJ. Geom. Anal. 11(4) (2001), 669-692
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/159841
dc.subjectDifferential Geometry
dc.subject53A10; 53A35; 53A42
dc.titleMean curvature one surfaces in hyperbolic space, and their relationship to minimal surfaces in Euclidean space
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