Poisson brackets of the constraints in unified field theory
Annales de l'institut Henri Poincaré. Section A, Physique Théorique, Volume 7 (1967) no. 4, pp. 319-331.
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     author = {Droz-Vincent, Philippe H.},
     title = {Poisson brackets of the constraints in unified field theory},
     journal = {Annales de l'institut Henri Poincar\'e. Section A, Physique Th\'eorique},
     pages = {319--331},
     publisher = {Gauthier-Villars},
     volume = {7},
     number = {4},
     year = {1967},
     language = {en},
     url = {http://archive.numdam.org/item/AIHPA_1967__7_4_319_0/}
}
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Droz-Vincent, Philippe H. Poisson brackets of the constraints in unified field theory. Annales de l'institut Henri Poincaré. Section A, Physique Théorique, Volume 7 (1967) no. 4, pp. 319-331. http://archive.numdam.org/item/AIHPA_1967__7_4_319_0/

[1] Philippe H. Droz-Vincent, Contribution à la quantification des théories relativistes de l'Électromagnétisme et de la Gravitation. Cahier de Phys., t. 18, n° 170, oct. 1964, p. 369-405.

[2] Stanley Deser and R. Arnowitt, Quantum theory of gravitation: General formulation and linearized theory. Phys. Rev., t. 113, 1959, p. 745. | MR | Zbl

[3] R. Arnowitt, S. Deser and C.W. Misner, in Recent advances in Relativity, J. Wiley, editor, New York, 1963.

[4] Albert Einstein, A generalization of the relativistic theory of gravitation. Ann. Math. Princeton, t. 46, 1945, p. 578 and t. 47, 1945, p. 146 and 731. In equation (2), Dρ means covariant derivation defined by the affinity Lμανυ=Γμαν + 2/3 δμαΓνAbout + and - derivations we just follow Einstein's notations. | MR | Zbl

[7] J.L. Anderson and P.G. Bergmann, Constraints in covariant field theories. Phys. Rev., t. 83, 1951, p. 1018. | MR | Zbl

P.G. Bergmann, Non linear field theories. Phys. Rev., t. 75, 1949, p. 680. | MR | Zbl

P.G. Bergmann and J.H.M. Brunings, Non linear field theories, II. Canonical equations and quantization. Rev. Mod. Phys., t. 21, 1949, p. 480. | MR | Zbl

[8] P.A.M. Dirac, Canad. Journ. of Math., t. 2, 1950, p. 129; t. 3, 1951, p. 1. Proc. Roy. Soc. A, t. 246, 1958, p. 333. | Zbl

[9] B.S. De Witt and R.W. Brehme, Ann. of Phys., t. 9, 1960, p. 220. | Zbl

[10] A. Lichnerowicz, Propagateurs et commutateurs en Relativité générale. Publications Mathématiques de l'Institut des Hautes Études Scientifiques, Paris, n° 10, 1961. | Numdam | MR | Zbl