Differential pseudoconnections and field theories
Marco Modugno; Rodolfo Ragionieri; Gianna Stefani
Annales de l'I.H.P. Physique théorique (1981)
- Volume: 34, Issue: 4, page 465-493
- ISSN: 0246-0211
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topModugno, Marco, Ragionieri, Rodolfo, and Stefani, Gianna. "Differential pseudoconnections and field theories." Annales de l'I.H.P. Physique théorique 34.4 (1981): 465-493. <http://eudml.org/doc/76127>.
@article{Modugno1981,
author = {Modugno, Marco, Ragionieri, Rodolfo, Stefani, Gianna},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {differential connections; gauged special equations; geometrical gauge theory; differential pseudoconnection; algebraic structure; quasilinear},
language = {eng},
number = {4},
pages = {465-493},
publisher = {Gauthier-Villars},
title = {Differential pseudoconnections and field theories},
url = {http://eudml.org/doc/76127},
volume = {34},
year = {1981},
}
TY - JOUR
AU - Modugno, Marco
AU - Ragionieri, Rodolfo
AU - Stefani, Gianna
TI - Differential pseudoconnections and field theories
JO - Annales de l'I.H.P. Physique théorique
PY - 1981
PB - Gauthier-Villars
VL - 34
IS - 4
SP - 465
EP - 493
LA - eng
KW - differential connections; gauged special equations; geometrical gauge theory; differential pseudoconnection; algebraic structure; quasilinear
UR - http://eudml.org/doc/76127
ER -
References
top- [1] R. Abraham, J. Marsden, Foundations of mechanics, sec. ed., Benjamin, 1978. MR515141
- [2] J. Dodson, Catégories, bundles and spacetime topology, Shiva Pub., 1980. Zbl0441.53022MR572432
- [3] C. Godbillon, Géométrie différentielle et mécanique analytique, Hermann, 1969. Zbl0174.24602MR242081
- [4] R. Hermann, Vector bundles in mathematical physics I, Benjamin, 1970. Zbl0213.23603MR266551
- [5] Pham Mau Quan, Introduction à la géométrie des variétés différentiables, Dunod, 1969. Zbl0209.53101MR242080
- [6] S. Salvioli, On the theory of geometric objects, J. Diff. Geom., t. 7, 1972. Zbl0276.53013MR320922
- [7] S. Sternberg, Lectures on differential geometry, Prent. Hall, 1964. Zbl0129.13102MR193578
- [8] P. Libermann, Connexions d'ordre supérieur et tenseur de structure, Atti Conv. Geom. Diff., Bologna, 1967. Zbl0231.53051
- [9] R. Palais, Foundations of global non linear analysis, Benjamin, 1968. Zbl0164.11102MR248880
- [10] J.F. Pommaret, Systems of partial differential equations and lie-pseudogroups, Gordon and Breach, 1978. Zbl0418.35028MR517402
- [11] P. Roux, Jets and connexions, Publ. Dép. Math., t. 7-4, Lyon, 1970. Zbl0252.58002
- [12] A. Kumpera, D.C. Spencer, Lie equations, I, General theory, Ann. of Math., Stud., t. 73, Princeton Univ. Press, 1972 Zbl0258.58015
- [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. MR583716
- [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. Zbl0316.53021MR460898
- [16] S. Hawking, G. Ellis, The large scale structure of space-time, Cambridge Un. Press, 1973. Zbl0265.53054MR424186
- [17] A. Lichnerowicz, Théories relativistes de la gravitation et de l'électromagnétisme, Masson, 1955. Zbl0065.20704
- [18] A. Lichnerowicz, Relativistic hydrodynamics and magnetohydrodynamics, Benjamen, 1967. Zbl0193.55401
- [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. Zbl0373.53001MR503498
- [21] A. Crumeyrolle, Structures spinorielles, Ann. Inst. H. Poincaré, t. XI, 1969. Zbl0188.26102MR271856
- [22] A. Crumeyrolle, Schémas d'Einstein-Dirac en spin 1/2 et généralizations, Ann. Inst. H. Poincaré, t. XXIII, 1973. Zbl0316.53046
- [23] G. Karrer, Darstellungen von Clifford bündeln, Ann. Ac. Sc. Fenn, t. AI, 1973. Zbl0262.53025
- [24] A. Kastler, Introduction à l'électrodynamique quantique, Dunod, 1961. Zbl0098.20004
- [25] A. Lichnerowicz, Champs spinoriels et propagateurs en relativité générale, Bull. Soc. Math. France, t. 92, 1964. Zbl0138.44301MR169667
- [26] A. Lichnerowicz, Champs de Dirac, Champ de Neutrino et transformations CPT sur un espace-temps, Ann. Inst. H. Poincaré I, 1964.
- [27] M.P. Appell, Sur une forme générale des équations de la dynamique, Mémor. Sc. Math. Ac. Sc., Paris, 1925. Zbl51.0616.04JFM51.0616.03
- [28] P.L. Garcia, The Poincaré cartan invariant in the calculus of variations, Symp. Math., t. XIV, 1974. Zbl0303.53040MR406246
- [29] H. Goldschmidt, S. Sternberg, The Hamilton cartan formalism in the calculus of variations, Ann. Inst. Four., t. 23, 1974. Zbl0243.49011MR341531
- [30] J. Kijowski, W. Tulczyejew, A sympletic framework for field theories, Lect. Not. Phys., t. 107, Springer, 1979. Zbl0439.58002MR549772
- [31] M. Modugno, Formulation of analytical mechanics in general relativity, Ann. Inst. H. Poincaré, t. XII, 1974. Zbl0305.70019MR373543
- [32] R. Ouzilou, Expression symplectique des problèmes variationnelles, Symp. Math., t. XIV, 1974. Zbl0307.58002MR385923
- [33] S. Sternberg, On the role of field theories in our physical conception of geometry, Diff. Geom. Meth. in Math. Phys., Springer, 1977. Zbl0393.53039MR519606
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