Remarks on the use of the stable tangent bundle in the differential geometry and in the unified field theory
Vaisman, Izu
Annales de l'I.H.P. Physique théorique, Tome 29 (1978), p. 317-333 / Harvested from Numdam
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Publié le : 1978-01-01
@article{AIHPA_1978__28_3_317_0,
     author = {Vaisman, Izu},
     title = {Remarks on the use of the stable tangent bundle in the differential geometry and in the unified field theory},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     volume = {29},
     year = {1978},
     pages = {317-333},
     mrnumber = {493854},
     zbl = {0377.53031},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIHPA_1978__28_3_317_0}
}

Vaisman, Izu. Remarks on the use of the stable tangent bundle in the differential geometry and in the unified field theory. Annales de l'I.H.P. Physique théorique, Tome 29 (1978) pp. 317-333. http://gdmltest.u-ga.fr/item/AIHPA_1978__28_3_317_0/

[1] D.E. Blair, Contact Manifolds in Riemannian Geometry. Lecture Notes in Math., 509, Springer-Verlag, Berlin, New York, 1976. | MR 467588 | Zbl 0319.53026

[2] E. Cartan, Sur les équations de la gravitation d'Einstein, Œuvres complètes, Partie III, vol. 1, p. 549-612, Gauthier-Villars, Paris, 1955.

[3] E. Cartan, Le parallélisme absolu et la théory unitaire du champ, Œuvres complètes, Partie III, vol. 2, p. 1167-1186, Gauthier-Villars, Paris, 1955. | MR 75130

[4] E. Cartan, La théorie unitaire d'Einstein-Mayer, Œuvres complètes, Partie III, vol. 2, p. 1863-1875, Gauthier-Villars, Paris, 1955. | MR 75130

[5] A. Einstein and P. Bergman, On a generalization of Kaluza's theory of electricity. Ann. Math., t. 39, 1938, p. 683-701. | MR 1503432 | Zbl 0019.28700

[6] A. Gray, Some examples of almost Hermitian manifolds. Illinois J. Math., t. 10, 1966, p. 353-366. | MR 190879 | Zbl 0183.50803

[7] S. Helgason, Differential Geometry and Symmetric Spaces, Academic Press, New York, 1962. | MR 145455 | Zbl 0111.18101

[8] S. Kobayashi and K. Nomizu, Foundations of Differential Geometry, I, II, Intersc. Publ., New York, 1963, 1969. | MR 152974 | Zbl 0119.37502

[9] Y. Matsushima, Differentiable Manifolds, M. Dekker, Inc., New York, 1972. | MR 346831 | Zbl 0233.58001

[10] Y. Thiry, Étude mathématique des équations d'une théorie unitaire à quinze variables de champ. J. Math. pures et appl., t. 30, 1951, p. 275-396. | MR 46790 | Zbl 0045.45403