Some remarks on the geometry of Kropina spaces
Differential Geometry
2016-11-26 v1
Abstract
Using the navigation data (h,W) of a Kropina space, we characterize weakly-Berwald Kropina spaces and Berwald Kropina spaces by means of the Killing vector field W and the parallel vector field W, respectively. Moreover, the local 1-parameter group of Finslerian local isometries of the Kropina space coincides with the local 1-parameter group Riemannian of local isometries on (M, h).
Keywords
Cite
@article{arxiv.1305.2683,
title = {Some remarks on the geometry of Kropina spaces},
author = {Ryozo Yoshikawa and Sorin V. Sabau},
journal= {arXiv preprint arXiv:1305.2683},
year = {2016}
}