| تعداد نشریات | 32 |
| تعداد شمارهها | 826 |
| تعداد مقالات | 7,979 |
| تعداد مشاهده مقاله | 42,418,654 |
| تعداد دریافت فایل اصل مقاله | 8,524,446 |
Berwald and Douglas spaces of a Finsler space with deformed Berwald-Infinite series metric | ||
| Journal of Algebra and Related Topics | ||
| دوره 13، شماره 2، اسفند 2025، صفحه 43-52 اصل مقاله (153.12 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22124/jart.2024.26510.1622 | ||
| نویسندگان | ||
| B. K. Tripathi* 1؛ S. Prajapati2 | ||
| 1Science and Humanities Department, Faculty of Mathematics, L D. College of Engineering Ahmedabad | ||
| 2Science Mathematics Branch, Gujarat Technological University, Chandkheda, Ahmedabad-382424 | ||
| چکیده | ||
| In the present paper, we have studied the basic properties of the Berwald and Douglas spaces of a Finsler space with the deformed Berwald-Infinite series metric and examined the condition under which the Finsler space with deformed Berwald-Infinite series metric will be a Berwald and Douglas space. | ||
| کلیدواژهها | ||
| Berwald - Infinite series؛ Finsler space؛ Berwald space؛ Douglas space؛ ($\alpha$؛ $\beta$)-metric | ||
| مراجع | ||
|
[1] 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. [2] S. Báscó and M. Matsumoto, Projective changes between Finsler spaces with (α, β)-matric, Tensor, N. S., (3) 55 (1994), 252-257. [3] S. Báscó and M. Matsumoto, On the Finsler spaces of Douglas type. A generalization of the notion of Berwald space, Publ. Math. Debrecen, (3) 51 (1997), 385-406. [4] L. Berwald, ¨U ber die n-dimensionalen Geometrien konstanter Kr¨ummung, in denen die Geraden die k¨urzesten sind., Math Z., 30 (1929), 449-469. [5] I. Y. Lee and H. S. Park, Finsler spaces with infinite series (α, β)-metric, J. Korean Math. Soc., (3) 41 (2004), 567-589. [6] M. Matsumoto, Foundations of Finsler Geometry and Special Finsler spaces, Kaiseisha Press, Otsu, Japan, 1986. [7] M. Matsumoto, The Berwald connection of a Finsler space with an (α, β)-metric, Tensor, N. S., 50 (1991), 18-21. [8] H. S. Park and E. S. Choi, Finsler spaces with an approximate Matsumoto metric of Douglas type, Comm. Korean Math. Soc., (3) 14 (1999), 535-544. [9] Z. Shen and C. Yu, On Einstein square metrics, Publ. Math. Debrecen, (3–4) 85 (2014), 413-424. [10] B. K. Tripathi, Hypersurfaces of a Finsler space with deformed Berwald-Infinite series metric, TWMS J. App. Eng. Math., (2) 10 (2020), 296-304. | ||
|
آمار تعداد مشاهده مقاله: 199 تعداد دریافت فایل اصل مقاله: 22 |
||