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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| 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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| _version_ | 1832563589693571072 |
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| author | Mircea Neagu |
| author_facet | Mircea Neagu |
| author_sort | Mircea Neagu |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-bcaab894a9d84e9085612b72b1fa6052 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2002-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-bcaab894a9d84e9085612b72b1fa60522025-02-03T01:13:11ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252002-01-0129171510.1155/S0161171202011018The geometry of autonomous metrical multi-time Lagrange space of electrodynamicsMircea Neagu0Department of Mathematics I, University Politehnica of Bucharest, Splaiul Independentei, Bucharest 313-77206, RomaniaThe 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.http://dx.doi.org/10.1155/S0161171202011018 |
| spellingShingle | Mircea Neagu The geometry of autonomous metrical multi-time Lagrange space of electrodynamics International Journal of Mathematics and Mathematical Sciences |
| title | The geometry of autonomous metrical multi-time
Lagrange space of electrodynamics |
| title_full | The geometry of autonomous metrical multi-time
Lagrange space of electrodynamics |
| title_fullStr | The geometry of autonomous metrical multi-time
Lagrange space of electrodynamics |
| title_full_unstemmed | The geometry of autonomous metrical multi-time
Lagrange space of electrodynamics |
| title_short | The geometry of autonomous metrical multi-time
Lagrange space of electrodynamics |
| title_sort | geometry of autonomous metrical multi time lagrange space of electrodynamics |
| url | http://dx.doi.org/10.1155/S0161171202011018 |
| work_keys_str_mv | AT mirceaneagu thegeometryofautonomousmetricalmultitimelagrangespaceofelectrodynamics AT mirceaneagu geometryofautonomousmetricalmultitimelagrangespaceofelectrodynamics |