IJPAM: Volume 77, No. 4 (2012)

ON NORMALIZED SEMI PARALLEL
$T'$-VECTOR FIELD IN FINSLER SPACE

Bankteshwar Tiwari
DST-CIMS, Faculty of Science
Banaras Hindu University
Varanasi, 221005, INDIA


Abstract. The semi-parallel vector field in Riemannian geometry has been introduced by Fulton [#!F65!#], whereas in Finsler geometry by Singh and Prasad [#!SP83!#], for instance, concurrent vector fields and concircular vector fields are semi parallel. The purpose of the present paper is to introduce Normalized Semi Parallel $T'$-vector field in Finsler space and to study the properties of some special Finsler spaces with this vector field. For instance, there in no such vector field in non-Riemannian C-reducible Finsler space. The notations and terminologies are referred to the monograph [#!MM86!#].

Received: October 25, 2011

AMS Subject Classification: 53B40, 53C60

Key Words and Phrases: Finsler space, semi parallelism, normalized semi parallel vector field, $T'$-tensor, C-reducible Finsler space

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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2012
Volume: 77
Issue: 4