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On generalized Berwald manifolds with relatively isotropic Landsberg curvature | ||
| Journal of Hyperstructures | ||
| دوره 14، شماره 1، 2025، صفحه 119-127 اصل مقاله (1.61 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22098/jhs.2025.16376.1061 | ||
| نویسنده | ||
| Akbar Tayebi* | ||
| Department of Mathematics, Faculty of Science, University of Qom, Qom, Iran | ||
| چکیده | ||
| The class of generalized Berwald metrics contains the class of Berwald metrics as a special case. Let F= αΦ(s), s=β/α, be a generalized Berwald (α, β)-metric on manifold M. We show that F has vanishing S-curvature S=0 and is of relatively isotropic Landsberg curvature L+ cFC=0 if and only if B=0, where c=c(x) is a scalar function on M. | ||
| کلیدواژهها | ||
| Generalized Berwald manifold؛ relatively isotropic Landsberg curvature؛ S-curvature | ||
| مراجع | ||
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[1] D. Bao and Z. Shen, Finsler metrics of constant positive curvature on the Lie group S3, J. London. Math. Soc. 66(2002), 453-467. [2] G. Chen, Q. He and S. Pan, On weak Berwald (α, β)-metrics of scalar flag curvature, J. Geom. Phy. 86(2014), 112-121. [3] X. Cheng, The (α, β)-metrics of scalar flag curvature, Di er. Geom. Appl, 35(2014), 361-369. [4] X. Cheng and Z. Shen, A class of Finsler metrics with isotropic S-curvature, Israel J. Math. 169(2009), 317-340. [5] M. Faghfouri and N. Jazer, Shen's L-Process on the Chern Connection, J. Finsler Geom. Appl. 4(1) (2023), 12-22. [6] B. Li and Z. Shen, On a class of weakly Landsberg metrics, Sci. China, Series A: Math. 50(2007), 75-85. [7] Z. Shen, Riemann-Finsler geometry with applications to information geometry, Chin. Ann. Math. 27(2006), 73-94. [8] Z. Shen, Volume comparison and its applications in Riemann-Finsler geometry, Adv. Math. 128(1997), 306-328. [9] Z. I. Szabo, Generalized spaces with many isometries, Geometria Dedicata, 11(1981), 369-383. [10] Sz. Szakal and J. Szilasi, A new approach to generalized Berwald manifolds I, SUT J. Math. 37(2001), 19-41. [11] A. Tayebi and M. Barzegari, Generalized Berwald spaces with (α, β)-metrics, Indagationes. Math. (N.S.). 27 (2016), 670-683. [12] A. Tayebi and F. Eslami, On a class of generalized Berwald manifolds, Publ. Math. Debrecen, 105(2024), 379-402. [13] A. Tayebi and M. Ra e. Rad, S-curvature of isotropic Berwald metrics, Sci. China. Series A: Math. 51(2008), 2198-2204. [14] C. Vincze, On Randers manifolds with semi-symmetric compatible linear connections, Indagationes. Math. (N.S.). 26(2015), 363-379. [15] C. Vincze, T. R. Khoshdani, S. M. Z. Gilani, and M. Olah, On compatible linear connections of two-dimensional generalized Berwald manifolds: a classical approach, Commun. Math. 27(2019), 51-68. [16] C. Vincze, On a special type of generalized Berwald manifolds: semi-symmetric linear connections preserving the Finslerian length of tangent vectors, Europ. J. Math. 3(2017), 1098-1171. | ||
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