English

Killing Correspondence in Finsler Spaces

Differential Geometry 2014-04-25 v1

Abstract

The present paper deals with the Killing correspondence between some Finsler spaces. We consider a Finsler space equipped with a β\beta-change of metric and study the Killing correspondence between the original Finsler space and the Finsler space equipped with β\beta-change of metric. We obtain necessary and sufficient condition for a vector field Killing in the original Finsler space to be Killing in the Finsler space equipped with β\beta-change of metric. Certain consequences of such result are also discussed.

Keywords

Cite

@article{arxiv.1404.6121,
  title  = {Killing Correspondence in Finsler Spaces},
  author = {Suresh K. Shukla and M. K. Gupta},
  journal= {arXiv preprint arXiv:1404.6121},
  year   = {2014}
}