ON C2-LIKENESS, C-REDUCIBILITY AND SEMI-C-REDUCIBILITY OF G-FINSLER SPACES AND G-LAGRANGE SPACES

摘要

The theory of C2-like Finsler spaces, C-reducible Finsler spaces and Semi-C-reducible Finsler spaces have been studied by several authors (Matsumoto, 1972, 1986 and Matsumoto and Numata, 1980). These spaces are also important in the sense that various torsion and curvature tensors can be explored explicitly in it. The theory of generalized Finsler space has been studied by Izumi, Sakaguchi, and Yoshida (Sakaguchi, 1992; Sakaguchi, Izumi and Yoshida, 1994, 1994) where as the theory of Lagrange and generalized Lagrange spaces have been studied by several authors (Anastasiei and Shimada, 1998; Miron and Anastasiei, 1994; Kawaguchi and Miron, 1989 and Singh, 1999). The purpose of the present paper is to introduce C2-likeness, C-reducibility in generalized Finsler space Fn , in generalized Lagrange space Lri and in corresponding Lagrange space 14,. The notations and terminologies are referred to Matsuinoto's monograph (Matsumoto, 1986).