Special recurrent transformation in an NPR-Finsler space

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DOI:

https://doi.org/10.4067/S0719-06462012000100007

Abstract

In this paper, an infinitesimal transformation xi = xi + ⋲ vi (xj ), where the vector vi is recurrent has been considered in an NPR- Finsler space. Such transformation is being called special recurrent transformation if the recurrence vector of the NPR-Finsler space is Lie invariant. Besides different properties of such transformation, the conditions for such transformation to be curvature collineation and an affine motion have been obtained.

Keywords

NPR-Finsler space , recurrent vector fields , special recurrent transformation , curvature collineation , affine motion
  • Anjali Goswami Department of Mathematics Jagannath Gupta Institute of Engineering and Technology Sitapura, Jaipur, India.
  • Pages: 81–91
  • Date Published: 2012-03-01
  • Vol. 14 No. 1 (2012): CUBO, A Mathematical Journal

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Published

2012-03-01

How to Cite

[1]
A. Goswami, “Special recurrent transformation in an NPR-Finsler space”, CUBO, vol. 14, no. 1, pp. 81–91, Mar. 2012.

Issue

Vol. 14 No. 1 (2012): CUBO, A Mathematical Journal

Section

Articles