×

Lagrangian geometrical models in physics. (English) Zbl 0812.53027

Summary: A brief survey of the best results in gravitation theory and relativistic geometrical optics deriving from the differential geometry of generalized Lagrange spaces is given.

MSC:

53B40 Local differential geometry of Finsler spaces and generalizations (areal metrics)
83C99 General relativity
83-02 Research exposition (monographs, survey articles) pertaining to relativity and gravitational theory
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] Miron, R.; Anastasiei, M., Vector Bundles, Lagrange Spaces, Applications in Relativity (1987), Ed. Acad. Romania: Ed. Acad. Romania Bucharest, (in Romanian) · Zbl 0616.53002
[2] Matsumoto, M., Foundations of Finsler Geometry and Special Finsler Spaces (1986), Kaiseisha Press: Kaiseisha Press Otsu, Japan · Zbl 0594.53001
[3] Miron, R.; Rosca, R.; Anastasiei, M.; Buchner, K., Found. of Physics Letters, 5 (1992)
[4] Asanov, G. S., Finsler Geometry, Relativity and Gauge Theories (1985), D. Reidel: D. Reidel Dordrecht · Zbl 0576.53001
[5] Aringazin, A. K.; Asanov, G. S., Reports on Math. Physics, 25, 35 (1988)
[6] Miron, R.; Kawaguchi, T.; Society, Tensor, Lagrangian geometrical theories and their applications to physics and engineering dynamical systems (1992), Monography
[7] Miron, R., J. Math. Kyoto University, 23, 219 (1983)
[8] Hull, C. M., Phys. Letters, 269B, 275 (1991)
[10] Beil, R. G., Int. J. Theoret. Physics, 28, 659 (1989)
[11] Roxburgh, I. W., Reports on Math. Physics, 31, 171 (1992) · Zbl 0151.47001
[12] Miron, R.; Tavakol, R., Publ. Math. Debrecen, 41 (1992)
[13] Roxburgh, I. W.; Tavakol, R. K.; Van den Bergh, N., Tensor, N.S., 51, 72 (1992)
[14] Miron, R.; Shigetaka, K., Tensor, N.S., 50, 177 (1991)
[16] Ehlers, J.; Pirani, F. A.E.; Schild, A.; O’Raifertaigh, L., General Relativity (1972), Oxford
[17] Zet, G.; Manta, V., Int. J. Theoret. Physics, 32, 1011 (1993)
[18] Asanov, G. S.; Kawaguchi, T., Tensor, N.S., 49, 99 (1990)
[19] Roxburgh, I. W., Tensor, N.S., 51, 59 (1992)
[20] Will, C. M., Experimental Gravitation (1986), Cambridge University Press: Cambridge University Press Cambridge
[21] Misner, Ch.; Thorne, K.; Wheeler, J. A., Gravitation, ((1973), Freeman and Company: Freeman and Company San Francisco), 1111
[22] Miron, R.; Kawaguchi, T., Comptes Rendus de l’Academie des Sciences (Paris), 312, 593 (1991)
[23] Fock, V. A., Theory of Space, Time and Gravitation (1962), Ed. Acad. Romania: Ed. Acad. Romania Bucharest, (in Romanian)
[24] Asanov, G. S.; Kawaguchi, T., Tensor, N.S., 50, 170 (1991)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.