Classification results for biharmonic submanifolds in spheres

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dc.creatorBalmuş, A.
dc.creatorMontaldo, S.
dc.creatorOniciuc, C.
dc.date2007-01-05
dc.date.accessioned2026-07-07T07:38:50Z
dc.date.available2026-07-07T07:38:50Z
dc.descriptionWe classify biharmonic submanifolds with certain geometric properties in Euclidean spheres. For codimension 1, we determine the biharmonic hypersurfaces with at most two distinct principal curvatures and the conformally flat biharmonic hypersurfaces. We obtain some rigidity results for pseudo-umbilical biharmonic submanifolds of codimension 2 and for biharmonic surfaces with parallel mean curvature vector field. We also study the type, in the sense of B-Y. Chen, of compact proper biharmonic submanifolds with constant mean curvature in spheres.
dc.descriptionDedicated to Professor Vasile Oproiu on his 65th birthday, 14 pages
dc.identifierhttps://arxiv.org/abs/math/0701155
dc.identifierhttp://arxiv.org/abs/math/0701155
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/121235
dc.subjectDifferential Geometry
dc.subject58E20
dc.titleClassification results for biharmonic submanifolds in spheres
dc.typetext

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