@article { author = {REZAEI, B. and RAZAVI, A. and SADEGHZADEH, N.}, title = {ON EINSTEIN (α,β )-METRICS}, journal = {Iranian Journal of Science}, volume = {32}, number = {4}, pages = {403-412}, year = {2008}, publisher = {Springer}, issn = {2731-8095}, eissn = {2731-8109}, doi = {10.22099/ijsts.2008.2298}, abstract = {– In this paper we consider some (α ,β ) -metrics such as generalized Kropina, Matsumoto and F (α β )2α = + metrics, and obtain necessary and sufficient conditions for them to be Einstein metrics when βis a constant Killing form. Then we prove with this assumption that the mentioned Einstein metrics must beRiemannian or Ricci flat.}, keywords = {Einstein Finsler metrics,(α,β ) - metrics,Schur lemma}, url = {https://ijsts.shirazu.ac.ir/article_2298.html}, eprint = {https://ijsts.shirazu.ac.ir/article_2298_e9e30572a219839fc8b166c53a696227.pdf} }