On a vector filed analogous to concurrent vector field in a Finsler space

Abstract

Concurrent vector fields in a Finsler space were first of all defined and studied by Tachibana [6], followed by Matsumoto [2] and others. Recently in 2004, Rastogi and Dwivedi [4] studied the existence of concurrent vector fields in a Finsler space of n-dimensional and showed that the definition in its present form is unsuitable. Further they gave a modified definition of a concurrent vector field in a Finsler space of a n-dimension.