Pré-Publication, Document De Travail Année : 2009

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

Résumé

This 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.

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Dates et versions

hal-00273687 , version 1 (15-04-2008)
hal-00273687 , version 2 (22-05-2009)

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Nabil Kahouadji. Construction of Local Conservation Laws by Generalized Isometric Embeddings of Vector Bundles. 2009. ⟨hal-00273687v2⟩
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