The stress-energy tensor for biharmonic maps

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dc.creatorLoubeau, E.
dc.creatorMontaldo, S.
dc.creatorOniciuc, C.
dc.date2006-02-01
dc.date.accessioned2026-07-07T07:03:02Z
dc.date.available2026-07-07T07:03:02Z
dc.descriptionUsing Hilbert's criterion, we consider the stress-energy tensor associated to the bienergy functional. We show that it derives from a variational problem on metrics and exhibit the peculiarity of dimension four. First, we use this tensor to construct new examples of biharmonic maps, then classify maps with vanishing or parallel stress-energy tensor and Riemannian immersions whose stress-energy tensor is proportional to the metric.
dc.identifierhttps://arxiv.org/abs/math/0602021
dc.identifierhttp://arxiv.org/abs/math/0602021
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/108818
dc.subjectDifferential Geometry
dc.subject58E20
dc.titleThe stress-energy tensor for biharmonic maps
dc.typetext

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