Surfaces with Parallel Mean Curvature Vector in S^2xS^2 and H^2xH^2

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dc.creatorTorralbo, Francisco
dc.creatorUrbano, Francisco
dc.date2008-07-11
dc.date2008-10-16
dc.date.accessioned2026-07-07T10:10:09Z
dc.date.available2026-07-07T10:10:09Z
dc.descriptionTwo holomorphic Hopf differentials for surfaces of non-null parallel mean curvature vector in S^2xS^2 and H^2xH^2 are constructed. A 1:1 correspondence between these surfaces and pairs of constant mean curvature surfaces of S^2xR and H^2xR is established. Using that, surfaces with vanishing Hopf differentials (in particular spheres with parallel mean curvature vector) are classified and a rigidity result for constant mean curvature surfaces of S^2xR and H^2xR is proved.
dc.description30 pages. Corrreted typos, added a theorem and a section
dc.identifierhttps://arxiv.org/abs/0807.1808
dc.identifierhttp://arxiv.org/abs/0807.1808
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/171533
dc.subjectDifferential Geometry
dc.subject53B25, 53C40
dc.titleSurfaces with Parallel Mean Curvature Vector in S^2xS^2 and H^2xH^2
dc.typetext

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