Totally umbilic surfaces in homogeneous 3-manifolds

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dc.creatorSouam, Rabah
dc.creatorToubiana, Eric
dc.date2006-04-18
dc.date2008-06-20
dc.date.accessioned2026-07-07T09:45:40Z
dc.date.available2026-07-07T09:45:40Z
dc.descriptionWe discuss existence and classification of totally umbilic surfaces in the model geometries of Thurston and the Berger spheres. We classify such surfaces in $H^2 \times R$, $S^2 \times R$ and the Sol group. We prove nonexistence in the Berger spheres and in the remaining model geometries other than the space forms.
dc.description28 pages, v2 : corrected typos, new section added. To appear in Commentarii Math. Helvet
dc.identifierhttps://arxiv.org/abs/math/0604391
dc.identifierhttp://arxiv.org/abs/math/0604391
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/163270
dc.subjectDifferential Geometry
dc.subject53C30, 53B25
dc.titleTotally umbilic surfaces in homogeneous 3-manifolds
dc.typetext

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