تعداد نشریات | 27 |
تعداد شمارهها | 364 |
تعداد مقالات | 3,223 |
تعداد مشاهده مقاله | 4,740,995 |
تعداد دریافت فایل اصل مقاله | 3,238,450 |
On projectively flat Finsler space with n-power (α,β)-metric | ||
Journal of Finsler Geometry and its Applications | ||
دوره 5، شماره 2، اسفند 2024، صفحه 14-24 اصل مقاله (308 K) | ||
نوع مقاله: Original Article | ||
شناسه دیجیتال (DOI): 10.22098/jfga.2024.14836.1124 | ||
نویسندگان | ||
P. K. Dwivedi؛ Sachin Kumar* ؛ C. K. Mishra | ||
Department of Mathematics and Statistics, Dr. Rammanohar Lohia Avadh University, Ayodhya (U. P.), India. | ||
چکیده | ||
In this paper we have taken the n-power (α,β)-metric and obtained the condition for projectively flatness and further find the some special cases. | ||
کلیدواژهها | ||
(α؛ β)-metric؛ projectively flat Finsler space؛ Randers metric؛ Kropina metric | ||
مراجع | ||
1. S.Bacso , Projective change between Finsler spaces with (α, β)−metric, Tensor, NS,55(1994), 85-99. 2. L. Y. Lee and H. S. Park, Finsler spaces with infinite series (α, β)−metric, Journal of Korean Mathematical Society, 41(3),1986, pp-567-589. 3. M. Matsumoto, Foundation of Finsler geometry and speial Finsler spaces, Kaiseisha Press, Saikawa, Otsu, 520, Japan, 1986 4. M. Matsumoto, The Berwald connection of a Finsler space with an (α, β)−metric, Ten-sor, 50(1),(1991), 18-21. 5. M. Matsumoto, Projectively flat Finsler spaces with (α, β)−metric, Rep. on Math. Phys.,30(1), 1991, 15-20. 6. M. Matsumoto, Theory of Finsler spaces with (α, β)−metric, Reports on mathematical Physics, 31(1), 1992, 43-83. 7. S. K. Narasimhamurthy, G. L. Kumari, C. S. Bagewadi and J. Sahyadri, On some projec-tively flat (α, β)−metrics, International Electronic Journal of Pure and Applied Mathe-matics, 3(3), 2011, 187-193. 8. S. K. Narasimhamurthy, Projectively flat Finsler space of Douglas type with weakly Berwald (α, β)−metric, International Journal of Pure Mathematical Sciences, Vol. 18, 2017, pp 1-12. 9. H.S. Park and E.S. Choi, On a Finsler space with with a special (α, β)−metric, Tensor, 56(2), 1995, 142-148. 10. H. S. Park and L. Y. Lee, On projectively flat Finsler spaces with (α, β)−metric, Com-munication of the Korean mathematical Society, 14(2), 1999, 373-383. 11. H. S. park et.al, Projective flat Finsler space with a certain (α, β)−metrics, Bull. Korean Math. Soc., 40(4), 2003, 649-661. 12. Z. Shen and G. C. Yildrim, On a class of projectively flat metrices with constant flag curvature, Canadian Journal of Mathematics, 60(2), 2008, 443-456. 13. B. Tiwari and M. Kumar, On Finsler space with a special (α, β)−metric, Journal of the Indian Math. Soc., 82(3-4), 2015, 207-218. 14. B. K. Tripathi, S. Khan and V. K. Chaubey, On projectively flat Finsler space with a cubic (α, β)−metric, Filomat, 37(26), 2023, 8975-8982. 15. G. Yang, On a class of Einstein- reversible Finsler metrics, Differential Geometry and its Applications, 60, 2018, 80-103. | ||
آمار تعداد مشاهده مقاله: 65 تعداد دریافت فایل اصل مقاله: 118 |