Complex Lagrange spaces with (γ, β)-metric

Kumari, Sweta and Pandey, P. N. (2023) Complex Lagrange spaces with (γ, β)-metric. ACTA MATHEMATICA ACADEMIAE PAEDAGOGICAE NYÍREGYHÁZIENSIS, 34 (1). pp. 156-166. ISSN 1786-0091

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Abstract

The purpose of the present paper is to introduce the notion of (γ, β)-metric in a complex Lagrange space, where γ is a cubic-root metric and β is a differential (1, 0)-form. Several geometric objects of such spaces such as fundamental metric tensor, its inverse, Euler-Lagrange equations, complex semispray coefficients, complex nonlinear connection and Chern– Lagrange connection are discussed.

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