Abstract
In this paper we make use of a new structure called seeded fibre bundle. This allows us to combine the symplectic formalism and general relativity. A theorem of existence is obtained and some examples and properties are studied.
Preview
Unable to display preview. Download preview PDF.
References
R. Abraham, J. E Marsden: “Foundations of Mechanics” (W.A. Benjamin, Cummings, Massachussets, 1978).
F.J. Dyson: “Symmetry Groups in Nuclear and Particle Physics” (W. A. Benjamin, New York, Amsterdam, 1966).
Y. Choquet Bruhat, C. de Witt, M. Dillard: “Analysis, Manifolds and Physics”, (North-Holland, Amsterdam, 1982).
D. Husemoller: “Fibre Bundles“ (Springer-Verlag, New York, Heidelberg, Berlin, 1966).
S. Kobayashi, K. Nomizu: “Foundations of Differential Geometry”, Volume I (Interscience Publishers, New York, 1963).
V. Liern: “Movimientos en Relatividad General“ (Post-Graduate Thesis, Valencia, 1990).
V. Liern, J. Olivert: “Extension of Geodesics Principle”, in Proc. Encuentros Relativistas Españoles 91, ed. by J. Ibañez (World Scientific, Singapore), to appear.
J. Olivert: J. Math. Phys. 21, 7 (1980).
L. S. Pontrjagin: “Topological Groups” (Gordon and Breach, New York, London, Paris, 1977).
J. M. Souriau: “Structure des Systèmes Dynamiques” (Dunod, Paris, 1970).
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1993 Springer-Verlag
About this paper
Cite this paper
Liern, V., Olivert, J. (1993). Presymplectic manifolds and conservation laws. In: Chinea, F.J., González-Romero, L.M. (eds) Rotating Objects and Relativistic Physics. Lecture Notes in Physics, vol 423. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-57364-X_228
Download citation
DOI: https://doi.org/10.1007/3-540-57364-X_228
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-57364-7
Online ISBN: 978-3-540-48087-7
eBook Packages: Springer Book Archive