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The warped generalized Lagrange space and its application in physics | ||
| AUT Journal of Mathematics and Computing | ||
| مقاله 10، دوره 4، شماره 2، 2023، صفحه 183-193 اصل مقاله (412.88 K) | ||
| نوع مقاله: Original Article | ||
| شناسه دیجیتال (DOI): 10.22060/ajmc.2022.20992.1076 | ||
| نویسندگان | ||
| Yousef Alipour Fakhri* 1؛ Mojtaba Garossi2 | ||
| 1Department of Mathematics, Payame Noor University, 19395-3697, Tehran, Iran | ||
| 2Department of Complementary Education, Payame Noor University, Tehran, Iran | ||
| چکیده | ||
| In this paper, we define the warped generalized Lagrangian (WGL) spaces and then examine some of their properties. In the following, we generalize the ``Tavakol-van den Bergh" condition in the theory of relativity (see 5) in this space, which is an example of the application of the warped generalized Lagrangian spaces in relativity (Theorem 4.6). We show that condition EPS in these spaces holds provided that the warped function $f$ satisfies the condition $\Big(e^{2f}\Big)^i=0$. | ||
| کلیدواژهها | ||
| Generalized Lagrange space؛ Warped product؛ Non-linear connection | ||
| مراجع | ||
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[5] M. Matsumoto, The Tavakol-van den Bergh conditions in the theories of gravity and projective changes of Finsler metrics, Publ. Math. Debrecen, 42 (1993), pp. 155–168.
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[8] R. Miron, M. Anastasiei, and I. Bucataru, The geometry of lagrange spaces, in Handbook of Finsler geometry. I, P. Antonelli, ed., vol. 1, Kluwer Academic Publishers Group, Dordrecht, 2003, pp. XXXIV+1437.
[9] R. Miron and R. Tavakol, Geometry of space-time and generalized Lagrange spaces, Publ. Math. Debrecen, 44 (1994), pp. 167–174.
[10] R. Miron, R. Tavakol, V. Balan, and I. Roxburgh, Geometry of space-time and generalized lagrange gauge theory, Publ. Math. Debrecen, 42 (1993), pp. 215–224.
[11] M. M. Rezaii and Y. Alipour-Fakhri, On projectively related warped product Finsler manifolds, Int. J. Geom. Methods Mod. Phys., 8 (2011), pp. 953–967 | ||
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