Construction of Local Conservation Laws by Generalized Isometric Embeddings of Vector Bundles

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dc.creatorKahouadji, Nabil
dc.date2008-04-16
dc.date2009-05-22
dc.date.accessioned2026-07-07T13:16:57Z
dc.date.available2026-07-07T13:16:57Z
dc.descriptionThis article uses Cartan-Kähler theory to construct local conservation laws from covariantly closed vector valued differential forms, objects that can be given, for example, by harmonic maps between two Riemannian manifolds. We apply the article's main result to construct conservation laws for covariant divergence free energy-momentum tensors. We also generalize the local isometric embedding of surfaces in the analytic case by applying the main result to vector bundles of rank two over any surface.
dc.description17 Pages
dc.identifierhttps://arxiv.org/abs/0804.2608
dc.identifierhttp://arxiv.org/abs/0804.2608
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/230956
dc.subjectDifferential Geometry
dc.subject58A15, 37K05, 32C22
dc.titleConstruction of Local Conservation Laws by Generalized Isometric Embeddings of Vector Bundles
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