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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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
University of Mohaghegh Ardabili
2023-06-01
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| Series: | Journal of Hyperstructures |
| Subjects: | |
| Online Access: | https://jhs.uma.ac.ir/article_2520_26613f46dff7cb585f25e4d74c39b3e8.pdf |
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| Summary: | 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. |
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| ISSN: | 2251-8436 2322-1666 |