On the L-duality of a Finsler space with special (α, β) metric
R. Miron initiated the study of L-duality in Lagrange and Finsler spaces in 1987.The concrete L-duals of the Randers met-ric, Kropina metric, Matsumoto metric, exponential metric, as well as a few more unique (α, β)- metrics, are really just an of the re-markable results obtained.The importance of L...
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| Format: | Article |
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University of Mohaghegh Ardabili
2023-06-01
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| Series: | Journal of Hyperstructures |
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| Online Access: | https://jhs.uma.ac.ir/article_2520_26613f46dff7cb585f25e4d74c39b3e8.pdf |
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| author | Brijesh Kumar Tripathi Manoj Kumar Singh |
| author_facet | Brijesh Kumar Tripathi Manoj Kumar Singh |
| author_sort | Brijesh Kumar Tripathi |
| collection | DOAJ |
| description | R. Miron initiated the study of L-duality in Lagrange and Finsler spaces in 1987.The concrete L-duals of the Randers met-ric, Kropina metric, Matsumoto metric, exponential metric, as well as a few more unique (α, β)- metrics, are really just an of the re-markable results obtained.The importance of L-duality, however, is basically limited to finding the dual of a few key Finsler functions.In this paper, we find L- Dual of a Finsler space with a special (α, β)- metric F =(α+β)3/α2 , where α is a Riemannian metric and β is a differential one form. |
| format | Article |
| id | doaj-art-0822f47b50e94f4bb8d0f0463e668bfc |
| institution | Kabale University |
| issn | 2251-8436 2322-1666 |
| language | English |
| publishDate | 2023-06-01 |
| publisher | University of Mohaghegh Ardabili |
| record_format | Article |
| series | Journal of Hyperstructures |
| spelling | doaj-art-0822f47b50e94f4bb8d0f0463e668bfc2025-08-20T03:28:48ZengUniversity of Mohaghegh ArdabiliJournal of Hyperstructures2251-84362322-16662023-06-0112117318210.22098/jhs.2023.25202520On the L-duality of a Finsler space with special (α, β) metricBrijesh Kumar Tripathi0Manoj Kumar Singh1Department of Mathematics, L. D. College of Engineering, Ahmedabad, Gujarat-380015, India.Department of Mathematics, Government Engineering College-Dahod, Gujarat-389151, India.R. Miron initiated the study of L-duality in Lagrange and Finsler spaces in 1987.The concrete L-duals of the Randers met-ric, Kropina metric, Matsumoto metric, exponential metric, as well as a few more unique (α, β)- metrics, are really just an of the re-markable results obtained.The importance of L-duality, however, is basically limited to finding the dual of a few key Finsler functions.In this paper, we find L- Dual of a Finsler space with a special (α, β)- metric F =(α+β)3/α2 , where α is a Riemannian metric and β is a differential one form.https://jhs.uma.ac.ir/article_2520_26613f46dff7cb585f25e4d74c39b3e8.pdffinsler spacecartan spacel- dulity between finsler and cartan spaces |
| spellingShingle | Brijesh Kumar Tripathi Manoj Kumar Singh On the L-duality of a Finsler space with special (α, β) metric Journal of Hyperstructures finsler space cartan space l- dulity between finsler and cartan spaces |
| title | On the L-duality of a Finsler space with special (α, β) metric |
| title_full | On the L-duality of a Finsler space with special (α, β) metric |
| title_fullStr | On the L-duality of a Finsler space with special (α, β) metric |
| title_full_unstemmed | On the L-duality of a Finsler space with special (α, β) metric |
| title_short | On the L-duality of a Finsler space with special (α, β) metric |
| title_sort | on the l duality of a finsler space with special α β metric |
| topic | finsler space cartan space l- dulity between finsler and cartan spaces |
| url | https://jhs.uma.ac.ir/article_2520_26613f46dff7cb585f25e4d74c39b3e8.pdf |
| work_keys_str_mv | AT brijeshkumartripathi ontheldualityofafinslerspacewithspecialabmetric AT manojkumarsingh ontheldualityofafinslerspacewithspecialabmetric |