Title

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

Document Type

Article

Publication Date

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.

Version

The work available here is the abstract of the article. Locate the full-text of the article using the DOI below.

Publication Title

Asian Journal of Mathematics

Volume Number

15

Issue Number

4

First Page

521

Last Page

538

Link to Full Text

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