Energy-momentum's local conservation laws and generalized isometric embeddings of vector bundles

Nabil Kahouadji (1)

1 IMJ - Institut de Mathématiques de Jussieu

This text is the extended version of a talk given at the conference Geometry, Topology, QFT and Cosmology hold from May 28 to May 30, 2008 at the Observatoire de Paris. Using exterior differential systems, I provide a positive answer to the generalized isometric embedding problem of vector bundles, and show how conservation laws for a class of PDE can be constructed, for instance, for covariant divergence-free energy-momentum tensors.

Domaines: Géométrie différentielle [math.DG]

Nabil Kahouadji. Energy-momentum's local conservation laws and generalized isometric embeddings of vector bundles. Geometry, Topology, QFT and Cosmology Workshop, May 2008, Paris, France. ⟨hal-00814926⟩