Surfaces and fronts with harmonic-mean curvature one in hyperbolic three-space

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dc.creatorKokubu, Masatoshi
dc.date2005-04-07
dc.date2005-10-20
dc.date.accessioned2026-07-07T06:39:44Z
dc.date.available2026-07-07T06:39:44Z
dc.descriptionWe investigate surfaces with constant harmonic-mean curvature one (HMC-1 surfaces) in hyperbolic three-space. We allow them to have certain kinds of singularities, and discuss some global properties. As well as flat surfaces and surfaces with constant mean curvature one (CMC-1 surfaces), HMC-1 surfaces belong to a certain class of Weingarten surfaces. From the viewpoint of parallel surfaces, CMC-1 surfaces and HMC-1 surfaces are representative among this class.
dc.description20 pages, 9 figures; Section 3 revised
dc.identifierhttps://arxiv.org/abs/math/0504124
dc.identifierhttp://arxiv.org/abs/math/0504124
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/101184
dc.subjectDifferential Geometry
dc.titleSurfaces and fronts with harmonic-mean curvature one in hyperbolic three-space
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