Title of article :
ON EINSTEIN (ALPHA, BETA)-METRICS
Author/Authors :
REZAEI, B. amirkabir university of technology - Department of Mathematics and Computer Science, تهران, ايران , RAZAVI, A. amirkabir university of technology - Department of Mathematics and Computer Science, تهران, ايران , SADEGHZADEH, N. amirkabir university of technology - Department of Mathematics and Computer Science, تهران, ايران
Abstract :
In this paper we consider some (ALPHA, BETA)-metrics such as generalized Kropina, Matsumoto and F=(ALPHA, BETA)^2/ALPHA metrics, and obtain necessary and sufficient conditions for them to be Einstein metrics when BETA is a constant Killing form. Then we prove with this assumption that the mentioned Einstein metrics must be Riemannian or Ricci flat.
Keywords :
Einstein Finsler metrics , (ALPHA , BETA) , metrics , Schur lemma
Journal title :
Iranian Journal of Science and Technology Transaction A: Science
Journal title :
Iranian Journal of Science and Technology Transaction A: Science
