Moebius geometry of surfaces of constant mean curvature 1 in hyperbolic space

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dc.creatorHertrich-Jeromin, Udo
dc.creatorMusso, Emilio
dc.creatorNicolodi, Lorenzo
dc.date1998-10-28
dc.date.accessioned2026-07-07T05:26:37Z
dc.date.available2026-07-07T05:26:37Z
dc.descriptionVarious transformations of isothermic surfaces are discussed and their interrelations are analyzed. Applications to cmc-1 surfaces in hyperbolic space and their minimal cousins in Euclidean space are presented: the Umehara-Yamada perturbation, the classical and Bryant's Weierstrass type representations, and the duality for cmc-1 surfaces are interpreted in terms of transformations of isothermic surfaces. A new Weierstrass type representation is introduced and a Moebius geometric characterization of cmc-1 surfaces in hyperbolic space and minimal surfaces in Euclidean space is given.
dc.description18 pages, plain TeX, 8 PostScript figures
dc.identifierhttps://arxiv.org/abs/math/9810157
dc.identifierhttp://arxiv.org/abs/math/9810157
dc.identifierAnn. Global Anal. Appl. 19, 185-205 (2001)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77616
dc.subjectDifferential Geometry
dc.titleMoebius geometry of surfaces of constant mean curvature 1 in hyperbolic space
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