INTERNATIONAL RESEARCH JOURNAL OF SCIENCE ENGINEERING AND TECHNOLOGY

( Online- ISSN 2454 -3195 ) New DOI : 10.32804/RJSET

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THE HYPERSURFACES OF FINSLER SPACE WITH NORMALIZED SEMI- PARALLEL VECTOR FIELD

    1 Author(s):  ANIL KUMAR JAISWAL

Vol -  10, Issue- 2 ,         Page(s) : 209 - 216  (2020 ) DOI : https://doi.org/10.32804/RJSET

Abstract

The concept of semi-parallel vector field in Finsler manifold has been introduced in [6]. It has been shown that the length of the semi parallel vector field is a non-zero function of coordinate only. Keeping this concept in mind the normalized semi parallel vector field Xi is defined by the conditions

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[2] Matsumoto, M. : Foundations of Finsler geometry and special Finsler spaces, Kaiseisha Press, Saikawa, Otsu-shi, Japan (1986).
[3] Matsumoto, M. : On some transformation of locally Minkowskian spaces. Tensor, N. S. 22 (1971), 103-111.

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