Work

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

Year: 2011

Type: article

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.

Source: Asian Journal of Mathematics

DOI: 10.4310/ajm.2011.v15.n4.a2

Author: Nabil Kahouadji

Institutions: Institut de Mathématiques de Jussieu-Paris Rive Gauche, Université Paris Diderot, McGill University

Language: English

Topic: Advanced Differential Geometry Research

Subfield: Astronomy and Astrophysics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: bronze

OpenAlex ID: W1993650048

FWCI: 0.163

Cites: 1

Cited by: 2

Related to: 10