Ricci-Quadratic Homogeneous Einstein Metrics

Rita Hashem Abdullah Aidaros, Narasimhamurthy S.K.


In this paper, we introduce the notation of Einstein-reversibility for Finsler metrics. A characteristic condition of Einstein-reversibility to be Ricci-quadratic is given, and we obtain theorem that characterizes Ricci-quaratic Einstein metric. We prove that a homogeneous Einstain metrics is Ricci-quadratic if and only if it is Berwald type.

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