The geometrical and gauge structure of a generalized theory of gravitation
Annales de l'institut Henri Poincaré. Section A, Physique Théorique, Tome 34 (1981) no. 1, pp. 85-94. 
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     author = {Moffat, J. W.},
     title = {The geometrical and gauge structure of a generalized theory of gravitation},
     journal = {Annales de l'institut Henri Poincar\'e. Section A, Physique Th\'eorique},
     pages = {85--94},
     publisher = {Gauthier-Villars},
     volume = {34},
     number = {1},
     year = {1981},
     mrnumber = {605358},
     language = {en},
     url = {http://archive.numdam.org/item/AIHPA_1981__34_1_85_0/}
}
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Moffat, J. W. The geometrical and gauge structure of a generalized theory of gravitation. Annales de l'institut Henri Poincaré. Section A, Physique Théorique, Tome 34 (1981) no. 1, pp. 85-94. http://archive.numdam.org/item/AIHPA_1981__34_1_85_0/

[1] J.W. Moffat, Phys. Rev., t. D19, 1979, p. 3554. | MR

[2] J.W. Moffat, Ibid., t. D19, 1979, p. 3562. | MR

[3] J.W. Moffat, J. Math. Phys., t. 21, 1980, p. 1798. | Zbl

[4] R.B. Mann and J.W. Moffat, University of Toronto, preprint, 1980.

[5] G. Kunstatter, J.W. Moffat and P. Savaria, Can. J. Phys., t. 58, 1980, p. 729. | MR | Zbl

[6] Cf. Y.M. Cho, Phys. Rev., t. D14, 1976, p. 2421.

[7] S. Kobayashi and K. Nomizu, Foundations of Differential Geometry (Interscience Pub. John Wiley, New York, t. II, 1969). | MR | Zbl

[8] Here the superspace is defined for eight bose coordinates and not for four bose and four fermi coordinates as is done in superspace versions of supersymmetry theories (cf. P. Nath and R. Arnowitt, Phys. Lett., t. 56B, 1975, p. 177). The present work can readily be extended to the case of superspace supersymmetry by defining the N manifold in terms of four fermi coordinates with the basis vectors ξm satisfying { ξm, ξn } = { ∂m, ∂n } = 0 (see: J.W. Moffat, to be published in Lett. in Math. Physics).

[9] Cf. Supergravity, eds. D. Z. FREEDMAN and P. VAN NIEUWENHUIZEN, North Holland, Pub. 1979. | MR

[10] Th. Kaluza, Sitzungsber. Preuss. Akad. Wiss. Berlin, Math.-Phys., K1, 1921, p. 966. | JFM