The four dimensional Ch-symmetric finsler space with constant unified main scalar

Abstract

F. Ikeda introduced the properties of Finsler spaces satisfying the condition L2C2 = f(x) in the year 1984, where L is the fundamental function and C is the length of the torsion vector Ci. In 1991, Ikeda introduced the condition: L2C2 = non-zero constant. In 1977, Matsumoto and Miron introduced the theory of intrinsic orthonormal frame field on n-dimensional Finsler space, as a generalization of Berwald’ and Moor’s ideas on two-dimensional and three-dimensional Finsler space respectively. Ikeda in the year 1991 and Singh and Kumari in the year 2000 have studied the three-dimensional Finsler space with constant unified main scalar. In 2007, Prasad, Chaubey and Patel have discussed the theory of the four- dimensional Finsler space with constant unified main scalar. A Finsler space Fn is called Ch-symmetric Finsler space if Cijklh = Cijhlk . In the presentpaper,we have discussed the theoryofthe four-dimensional Chsymmetric Finsler space with contant unified main scalar .