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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2023, Volume 20, Issue 1, Pages 17–24 DOI: https://doi.org/10.33048/semi.2023.20.002
(Mi semr1566)
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Geometry and topology
Lagrange spaces with changed Z. Shen square metric
Kumar Tripathi Brijesha, S. B. Chandaka, V. K. Chaubeyb a Department of Mathematics, L D College of Engineering Ahmedabad, 380015, Gujarat, India
b Department of Applied Sciences,
Buddha Institute of Technology, Sector-7, GIDA, Gorakhpur, (U.P.)
273209, Gorakhpur, India
DOI:
https://doi.org/10.33048/semi.2023.20.002
Abstract:
The purpose of present paper to study Lagrange space due to changed Z. Shen square metric $L^{*}=\frac{(L+\beta)^{2}}{L}$ and obtained fundamental tensor fields for these space. Further, we studied about the variational problem with fixed endpoints for the Lagrange spaces due to above change.
Keywords:
Lagrange space, Z. Shen square metric, Euler-Lagrange equation.
Received May 24, 2022, published January 23, 2023
Citation:
Kumar Tripathi Brijesh, S. B. Chandak, V. K. Chaubey, “Lagrange spaces with changed Z. Shen square metric”, Sib. Èlektron. Mat. Izv., 20:1 (2023), 17–24
Linking options:
https://www.mathnet.ru/eng/semr1566 https://www.mathnet.ru/eng/semr/v20/i1/p17
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| Statistics & downloads: |
| Abstract page: | 125 | | Full-text PDF : | 58 | | References: | 42 |
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