Corpus ID: 119302537

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

@article{Kahouadji2008EnergymomentumsLC,
  title={Energy-momentum's local conservation laws and generalized isometric embeddings of vector bundles},
  author={N. Kahouadji},
  journal={arXiv: Differential Geometry},
  year={2008}
}
  • N. Kahouadji
  • Published 2008
  • Mathematics
  • arXiv: Differential Geometry
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. 

References

SHOWING 1-10 OF 20 REFERENCES
Construction of Local Conservation Laws by Generalized Isometric Embeddings of Vector Bundles
This article uses Cartan-K\"ahler theory to construct local conservation laws from covariantly closed vector valued differential forms, objects that can be given, for example, by harmonic mapsExpand
Exterior Differential Systems
Basic theorems Cartan-Khler theory linear differential systems the characteristic variety prolongation theory applications of commutative algebra and algebraic geometry to the study of exteriorExpand
Sur la possibilité de plonger un espace riemannien donné dans un espace euclidien
(où le signe S signifie comme d'habitude que l'on remplace successivement # par y , . . . ou 0 et que l'on fait la somme des termes obtenus) a-t-il quelque solution? Même dans le cas où le nombre desExpand
The imbedding problem for Riemannian manifolds
Les systèmes différentiels extérieurs et plongements isométriques
  • Master’s thesis, Université Pierre et Marie CURIE
  • 2006
Applications harmoniques
  • lois de conservation et repères mobiles, Diderot Editeur, Arts et Sciences
  • 1996
Les systèmes différentiels extérieurs et plongements isométriques, Master's thesis
  • Les systèmes différentiels extérieurs et plongements isométriques, Master's thesis
  • 2006
Applications harmoniques, lois de conservation et repères mobiles
  • Diderot Editeur, Arts et Sciences
  • 1996
On C 1isometric imbeddings C 1isometric imbeddings
  • Applications harmoniques , lois de conservation et repères mobiles
  • 1996
Disquisitiones generales circa superficies curvas
...
1
2
...