Differential pseudoconnections and field theories
Annales de l'I.H.P. Physique théorique, Volume 34 (1981) no. 4, p. 465-493
@article{AIHPA_1981__34_4_465_0,
     author = {Modugno, Marco and Ragionieri, Rodolfo and Stefani, Gianna},
     title = {Differential pseudoconnections and field theories},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     publisher = {Gauthier-Villars},
     volume = {34},
     number = {4},
     year = {1981},
     pages = {465-493},
     zbl = {0478.70015},
     mrnumber = {625175},
     language = {en},
     url = {http://www.numdam.org/item/AIHPA_1981__34_4_465_0}
}
Modugno, Marco; Ragionieri, Rodolfo; Stefani, Gianna. Differential pseudoconnections and field theories. Annales de l'I.H.P. Physique théorique, Volume 34 (1981) no. 4, pp. 465-493. http://www.numdam.org/item/AIHPA_1981__34_4_465_0/

[1] R. Abraham, J. Marsden, Foundations of mechanics, sec. ed., Benjamin, 1978. | MR 515141

[2] J. Dodson, Catégories, bundles and spacetime topology, Shiva Pub., 1980. | MR 572432 | Zbl 0441.53022

[3] C. Godbillon, Géométrie différentielle et mécanique analytique, Hermann, 1969. | MR 242081 | Zbl 0174.24602

[4] R. Hermann, Vector bundles in mathematical physics I, Benjamin, 1970. | MR 266551 | Zbl 0213.23603

[5] Pham Mau Quan, Introduction à la géométrie des variétés différentiables, Dunod, 1969. | MR 242080 | Zbl 0209.53101

[6] S. Salvioli, On the theory of geometric objects, J. Diff. Geom., t. 7, 1972. | MR 320922 | Zbl 0276.53013

[7] S. Sternberg, Lectures on differential geometry, Prent. Hall, 1964. | MR 193578 | Zbl 0129.13102

[8] P. Libermann, Connexions d'ordre supérieur et tenseur de structure, Atti Conv. Geom. Diff., Bologna, 1967. | Zbl 0231.53051

[9] R. Palais, Foundations of global non linear analysis, Benjamin, 1968. | MR 248880 | Zbl 0164.11102

[10] J.F. Pommaret, Systems of partial differential equations and lie-pseudogroups, Gordon and Breach, 1978. | MR 517402 | Zbl 0418.35028

[11] P. Roux, Jets and connexions, Publ. Dép. Math., t. 7-4, Lyon, 1970. | Zbl 0252.58002

[12] A. Kumpera, D.C. Spencer, Lie equations, I, General theory, Ann. of Math., Stud., t. 73, Princeton Univ. Press, 1972 | Zbl 0258.58015

[13] Y. Choquet-Bruhat, J.W. York Jr., The Cauchy problem in general relativity, in Gen. Rel. and Grav. edited by Held, Plenum Press, 1980. | MR 583716

[14] A.E. Fisher, J.E. Marsden, The initial value problem and the dynamical formulation of general relativity, in Gen. Rel. An Einstein Cent. Survey, edited by S. W. Hawking, W. Israel, Cambridge Un. Press, 1979.

[15] F.G. Friedlander, The wave equation on a curved space-time, Cambridge Un. Press, 1975. | MR 460898 | Zbl 0316.53021

[16] S. Hawking, G. Ellis, The large scale structure of space-time, Cambridge Un. Press, 1973. | MR 424186 | Zbl 0265.53054

[17] A. Lichnerowicz, Théories relativistes de la gravitation et de l'électromagnétisme, Masson, 1955. | Zbl 0065.20704

[18] A. Lichnerowicz, Relativistic hydrodynamics and magnetohydrodynamics, Benjamen, 1967. | Zbl 0193.55401

[19] A. Lichnerowicz, Ondes de choc en relativité générale, Centro di An. Glob. C. N. R., Firenze, 1975.

[20] R.K. Sachs, H. Wu, General relativity for mathematicians, Springer, 1977. | MR 503498 | Zbl 0373.53001

[21] A. Crumeyrolle, Structures spinorielles, Ann. Inst. H. Poincaré, t. XI, 1969. | Numdam | MR 271856 | Zbl 0188.26102

[22] A. Crumeyrolle, Schémas d'Einstein-Dirac en spin 1/2 et généralizations, Ann. Inst. H. Poincaré, t. XXIII, 1973. | Numdam | Zbl 0316.53046

[23] G. Karrer, Darstellungen von Clifford bündeln, Ann. Ac. Sc. Fenn, t. AI, 1973. | Zbl 0262.53025

[24] A. Kastler, Introduction à l'électrodynamique quantique, Dunod, 1961. | Zbl 0098.20004

[25] A. Lichnerowicz, Champs spinoriels et propagateurs en relativité générale, Bull. Soc. Math. France, t. 92, 1964. | Numdam | MR 169667 | Zbl 0138.44301

[26] A. Lichnerowicz, Champs de Dirac, Champ de Neutrino et transformations CPT sur un espace-temps, Ann. Inst. H. Poincaré I, 1964. | Numdam

[27] M.P. Appell, Sur une forme générale des équations de la dynamique, Mémor. Sc. Math. Ac. Sc., Paris, 1925. | JFM 51.0616.03 | Numdam

[28] P.L. Garcia, The Poincaré cartan invariant in the calculus of variations, Symp. Math., t. XIV, 1974. | MR 406246 | Zbl 0303.53040

[29] H. Goldschmidt, S. Sternberg, The Hamilton cartan formalism in the calculus of variations, Ann. Inst. Four., t. 23, 1974. | Numdam | MR 341531 | Zbl 0243.49011

[30] J. Kijowski, W. Tulczyejew, A sympletic framework for field theories, Lect. Not. Phys., t. 107, Springer, 1979. | MR 549772 | Zbl 0439.58002

[31] M. Modugno, Formulation of analytical mechanics in general relativity, Ann. Inst. H. Poincaré, t. XII, 1974. | Numdam | MR 373543 | Zbl 0305.70019

[32] R. Ouzilou, Expression symplectique des problèmes variationnelles, Symp. Math., t. XIV, 1974. | MR 385923 | Zbl 0307.58002

[33] S. Sternberg, On the role of field theories in our physical conception of geometry, Diff. Geom. Meth. in Math. Phys., Springer, 1977. | MR 519606 | Zbl 0393.53039