Special recurrent transformation in an NPR-Finsler space

Anjali Goswami

doi:10.4067/S0719-06462012000100007

Authors

Anjali Goswami Department of Mathematics Jagannath Gupta Institute of Engineering and Technology Sitapura, Jaipur, India.

DOI:

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

Keywords:

NPR-Finsler space, recurrent vector fields, special recurrent transformation, curvature collineation, affine motion

Abstract

In this paper, an infinitesimal transformation xⁱ = xⁱ + â‹² vⁱ (x^j ), 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.