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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) 		 
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
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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
Document Type: Article
UDC: 514.7
MSC: 53B40,53C60.
Language: English
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
Citation in format AMSBIB
\Bibitem{BriChaCha23}
\by Kumar~Tripathi~Brijesh, S.~B.~Chandak, V.~K.~Chaubey
\paper Lagrange spaces with changed Z. Shen square metric
\jour Sib. \`Elektron. Mat. Izv.
\yr 2023
\vol 20
\issue 1
\pages 17--24
\mathnet{http://mi.mathnet.ru/semr1566}
\crossref{https://doi.org/10.33048/semi.2023.20.002}
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