@article { author = {Bidabad, B. and Sepasi, M.}, title = {On the characteristic of projectively invariant Pseudo-distance on Finsler spaces}, journal = {Iranian Journal of Science}, volume = {39}, number = {2}, pages = {233-238}, year = {2015}, publisher = {Springer}, issn = {2731-8095}, eissn = {2731-8109}, doi = {10.22099/ijsts.2015.3023}, abstract = {  A projective parameter of a geodesic as solution of certain ODE is defined to be a parameter which is invariant under projective change of metric. Using projective parameter and Poincaré metric, an intrinsic projectively invariant pseudo-distance can be constructed. In the present work, solutions of the above ODE are characterized with respect to the sign of parallel Ricci tensor on a Finsler space. Moreover, the Ricci tensor is used to define a Finsler structure and it is shown that, the pseudo-distance is trivial on complete Finsler spaces of positive semi-definite Ricci tensor and it is a distance on a Finsler space of parallel negative definite Ricci tensor. }, keywords = {Finsler metric,Schwarzian derivative,Ricci tensor,projective parameter,pseudo-distance}, url = {https://ijsts.shirazu.ac.ir/article_3023.html}, eprint = {https://ijsts.shirazu.ac.ir/article_3023_d7a5d9363b2cad297ae98cb61b3088d8.pdf} }