Author/Authors :
REZAEI، B نويسنده Department of Mathematics and Computer Science of Amir-Kabir University, Tehran, I. R. of Iran , , RAZAVI، A نويسنده Department of Mathematics and Computer Science of Amir-Kabir University, Tehran, I. R. of Iran , , SADEGHZADEH، N نويسنده Department of Mathematics and Computer Science of Amir-Kabir University, Tehran, I. R. of Iran ,
Abstract :
In this paper we consider some () ? B , -metrics such as generalized Kropina, Matsumoto and
2
()
F ? B
?
+
= metrics, and obtain necessary and sufficient conditions for them to be Einstein metrics when B
is a constant Killing form. Then we prove with this assumption that the mentioned Einstein metrics must be
Riemannian or Ricci flat.
