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December 2011 Construction of Local Conservation Laws by Generalized Isometric Embeddings of Vector Bundles
Nabil Kahouadji
Asian J. Math. 15(4): 521-538 (December 2011).

Abstract

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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Nabil Kahouadji. "Construction of Local Conservation Laws by Generalized Isometric Embeddings of Vector Bundles." Asian J. Math. 15 (4) 521 - 538, December 2011.

Information

Published: December 2011
First available in Project Euclid: 12 March 2012

zbMATH: 1248.58003
MathSciNet: MR2853647

Subjects:
Primary: 32C22 , 37K05 , 58A15

Keywords: Cartan–Kähler theory , Conservation laws , conservation laws for energy-momentum tensors , exterior differential systems , generalized isometric embeddings of vector bundles

Rights: Copyright © 2011 International Press of Boston

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Vol.15 • No. 4 • December 2011
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