Complete surfaces of constant curvature in H2xR and S2xR

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dc.creatorAledo, Juan A.
dc.creatorEspinar, Jose M.
dc.creatorGalvez, Jose A.
dc.date2005-10-15
dc.date.accessioned2026-07-07T06:47:31Z
dc.date.available2026-07-07T06:47:31Z
dc.descriptionWe study isometric immersions of surfaces of constant curvature into the homogeneous spaces H2xR and S2xR. In particular, we prove that there exists a unique isometric immersion from the standard 2-sphere of constant curvature c>0 into H2xR and a unique one into S2xR when c>1, up to isometries of the ambient space. Moreover, we show that the hyperbolic plane of constant curvature c<-1 cannot be isometrically immersed into H2xR or S2xR.
dc.description17 pages
dc.identifierhttps://arxiv.org/abs/math/0510321
dc.identifierhttp://arxiv.org/abs/math/0510321
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/103678
dc.subjectDifferential Geometry
dc.subject53C42; 53C40
dc.titleComplete surfaces of constant curvature in H2xR and S2xR
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