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Список литературы
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| 1. |
B. Nicolaescu, “Lagrange spaces with $ (\alpha, \beta) $-metric”, Appl. Sci., 3:1 (2001), 42–47 |
| 2. |
B. Nicolaescu, “The variational problem in Lagrange spaces endowed with $ (\alpha, \beta) $-metric”, Proceedings of the 3rd international colloquium of mathematics in engineering and numerical physics, MENP-3, Mathematics sections (Bucharest, Romania, October 7-9, 2004), BSG Proceedings, 12, ed. Balan Vladimir, Geometry Balkan Press, Bucharest, 2005, 202–207 |
| 3. |
C. Shibata, “On invariant tensors of $ \beta $-changes of Finsler metrics”, J. Math. Kyoto Univ., 24 (1984), 163–188 |
| 4. |
J. Kern, “Lagrange geometry”, Arch. Math., 25 (1974), 438–443 |
| 5. |
I.M. Gelfand, S.V. Fomin, Calculus of variations, Dover Publications, Mineola, 2000 |
| 6. |
M. Matsumoto, “On some transformations of locally Minkowskian space”, Tensor, New Ser., 22 (1971), 103–111 |
| 7. |
M. Matsumoto, “Theory of Finsler spaces with $ (\alpha, \beta) $-metric”, Rep. Math. Phys., 31:1 (1992), 43–83 |
| 8. |
R. Miron, “A Lagrangian theory of relativity, I; II”, An. Ştiinţ. Univ. Al. I. Cuza Iaşi, N. Ser., Secţ. Ia, 32:2 (1986), 7–16 ; 3 (1986), 37–62 |
| 9. |
R. Miron, “Lagrange geometry”, Math. Comput. Modelling, 20:4-5 (1994), 25–40 |
| 10. |
R. Miron, M. Anastasiei, The geometry of Lagrange spaces: theory and applications, Kluwer Acad. Publ., Dordrecht, 1994 |
| 11. |
T.N. Pandey, V.K. Chaubey, “The variational problem in Lagrange spaces endowed with $ (\gamma, \beta) $ metric”, Int. J. Pure Appl. Math., 71:4 (2011), 633–638 |
| 12. |
T.N. Pandey, V.K. Chaubey, “Lagrange spaces with $\beta$-change”, Int. J. Contemp. Math. Sci., 7:45-48 (2012), 2363–2371 |
| 13. |
S.-S. Chern, Z. Shen, Riemann-Finsler geometry, Nankai Tracts in Mathematics, 6, World Scientific, Hackensack, 2005 |
| 14. |
Z. Shen, G. Civi Yildirim, “On a class of projectively flat metrics with constant flag curvature”, Can. J. Math., 60:2 (2008), 443–456 |