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
From page
403
To page
412
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
Record number
2579929
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