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Modification of a Finsler space by a normalized semi-parallel vector field (1983)

Singh, U. P. ; Prasad, B. N.

Springer

Periodica mathematica Hungarica 14 (1983), S. 31-41

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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

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