The geometry of autonomous metrical multi-time Lagrange space of electrodynamics
The aim of this paper is to create a large geometrical background for the study of important branch of physics: electrodynamics, bosonic strings theory, magneto-hydrodynamics, and so forth. The geometrical construction is realized on the 1-jet fibre bundle J1(T,M) and is produced by a given quadrati...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2002-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171202011018 |
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| Summary: | The aim of this paper is to create a large geometrical background
for the study of important branch of physics: electrodynamics,
bosonic strings theory, magneto-hydrodynamics, and so forth. The
geometrical construction is realized on the 1-jet fibre bundle J1(T,M)
and is produced by a given quadratic multi-time
Lagrangian function L. The Riemann-Lagrange geometry of the
space EDMLpn=(J1(T,M),L), in the sense of
d-connections, torsion and curvature d-tensors, allows the
construction of a natural generalized multi-time field theory on
EDMLPn, in the sense of generalized Maxwell and Einstein
equations. |
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| ISSN: | 0161-1712 1687-0425 |