Kumar Tripathi Brijesh, S. B. Chandak, V. K. Chaubey, “Lagrange spaces with changed Z. Shen square metric”, Sib. Èlektron. Mat. Izv., 2023, Volume 20, Issue 1,Pages <nobr>17

Geometry and topology

Lagrange spaces with changed Z. Shen square metric

Kumar Tripathi Brijesh^a, S. B. Chandak^a, V. K. Chaubey^b

^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

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.

UDC: 514.7

MSC: 53B40,53C60.

Received May 24, 2022, published January 23, 2023

Language: English

DOI: 10.33048/semi.2023.20.002