Some Properties of Concurrent Vector Fields in a Hypersurface of a Finsler Space

Concurrent vector fields in a Finsler space were first of all defined and studied in 1950 by Tachibana [8]. Concurrent vector fields were later on studied by Matsumoto and Eguchi [2] and other. In 2004, Rastogi and Dwivedi [5], while investigating the existence of concurrent vector fields found that the earlier definition of concurrent vector fields in a Finsler space was not suitable and hence, they gave a new definition of concurrent vector fields as follows: