ISSN:
1588-2829
Keywords:
Primary 53B40
;
Finsler space
;
semi-parallel vectors
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract LetF n be a Finsler space with metric functionF(x, y). M. Matsumoto [6] has defined a modified Finsler spaceF n * whose metric functionF *(x, y) is given byF *2 = = F2 + (Xi(x)yi)2, whereX i are the components of a covariant vector which is a function of coordintae only. Since a concurrent vector is a function of coordinate only, Matsumoto and Eguchi [9] have studied various properties of the modified Finsler spaceF n * under the assumption thatX i are the components of a concurrent vector field inF n. In this paper we shall introduce the concept of semi-parallel vector field inF n and study the properties of modified Finsler spaceF n * .
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF02023579
Permalink