پیوندهای مفید
آمار
| تعداد نشریات | 30 |
| تعداد شماره‌ها | 426 |
| تعداد مقالات | 3,753 |
| تعداد مشاهده مقاله | 5,904,244 |
| تعداد دریافت فایل اصل مقاله | 4,096,124 |
On Berwald-Matsumoto type Finsler metric | ||
| Journal of Finsler Geometry and its Applications | ||
| دوره 6، شماره 2، اسفند 2025، صفحه 71-81 اصل مقاله (269.41 K) | ||
| نوع مقاله: Original Article | ||
| شناسه دیجیتال (DOI): 10.22098/jfga.2025.16973.1152 | ||
| نویسندگان | ||
| Brijesh Kumar Tripathi* 1؛ Sejal Prajapati2 | ||
| 1Department of Mathematics, L D College of Engineering Ahmedabad, India | ||
| 2Science Mathematics Branch, Gujarat Technological University Ahmedabad, India | ||
| چکیده | ||
| In this paper, we looked at the basic properties of the Berwald and Douglas spaces of a Finsler space with a deformed Berwald-Matsumoto metric. We also examined the conditions that make the Finsler space, with the deformed Berwald-Matsumoto metric, a Berwald and Douglas space. | ||
| کلیدواژه‌ها | ||
| Finsler space؛ Berwald space؛ Douglas space؛ Berwald-Matsumoto metric | ||
| مراجع | ||
|
1. T. Aikou, M. Hashiguchi and K. Yamauchi, On Matsumoto’s Finsler space with time measure, Rep. Fac. Sci., Kagoshima Univ., 23 (1990), 1-12. 2. P. L. Antonelli, R. S. Ingarden and M. Matsumoto, The Theory of Sprays and Finsler Spaces with Applications in Physics and Biolory, Kluwer Acad. Dordrecht, 1993. 3. S. B´asc´o and M. Matsumoto, On the Finsler spaces of Douglas type. A generalization of the notion of Berwald space, Publ. Math. Debrecen, 51(3-4) (1997), 385-406. 4. S. B´asc´o and M. Matsumoto, Projective changes between Finsler spaces with (α; β)-matric, Tensor, N. S., 55(3) (1994), 252-257. 5. L. Berwald, U¨ber die n-dimensionalen Geometrien konstanter Kru¨mmung, in denen dieGeraden die ku¨rzesten sind., Math Z., 30 (1929), 449-469. 6. V.K. Chaubey and B. K. Tripathi, Hypersurfaces of a Finsler space with deformed Berwald-Matsumoto metric, Bull. Transilvania. Univ. Brasov, 11(60)(1) (2018), 37-48. 7. R. Gangopadhyaya and B. Tiwari, On a Bernstein-type theorem for minimal surfaces with Matsumoto metric, J. Finsler Geom. Appl. 3(1) (2022), 16-30. 8. P. Kumar and B. K. Tripathi, Finsler spaces with some special (α; β)-metric of Douglas type, Malaya J. of Math., 7(2) (2019), 132-137. 9. I. Y. Lee and H. S. Park, Finsler spaces with infinite series (α; β)-metric, J. Korean Math. Soc., 41(3) (2004), 567-589. 10. M. Matsumoto, Foundations of Finsler Geometry and Special Finsler spaces, Kaiseisha Press, Otsu, Japan, 1986. 11. M. Matsumoto, The Berwald connection of a Finsler space with an (α; β)-metric, Tensor, N. S., 50 (1991), 18-21. 80 Brijesh Kumar Tripathi and Sejal Prajapati 12. M. Matsumoto, Finsler spaces with (α; β)-metric of Douglas type, Tensor, N. S., 60 (1998), 123-134. 13. M. Matsumoto, A slope of a mountain is a Finsler surface with respect to time measure,J. Math. Kyoto Univ., 29 (1989), 17-25. 14. H. S. Park and E. S. Choi, Finsler spaces with an approximate Matsumoto metric of Douglas type, Comm. Korean Math. Soc., 14(3) (1999), 535-544. 15. A. Sahu, M. K. Gupta and S. Sharma, About the invariance of the Cartan connection relative to a h-Matsumoto change, J. Finsler Geom. Appl. 6(2) (2025), 32-40. 16. Z. Shen and C. Yu, On Einstein square metrics, Publ. Math. Debrecen., 85(3) (2014), 413-424. 17. B. K. Tripathi and S. Khan, On weakly Berwald space with a special cubic (α; β)-metric,Surveys in Math. and its App., 18 (2023), 1-11. 18. B. K. Tripathi and P. Kumar, Douglas spaces for some (α; β)-metric of a Finsler spaces,J. Adv. Math. Stu., 15(4) (2022), 444-455. 19. B. K. Tripathi and D. Patel, Berwald and Douglas space of a Finsler space with anexponential form of (α; β)-metric, Korean J. Math., 32(4) (2024), 661-671. | ||
|
آمار تعداد مشاهده مقاله: 48 تعداد دریافت فایل اصل مقاله: 85 |
||