Published January 1, 2016
| Version v1
Journal article
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Some Ricci-flat (alpha, beta)-metrics
Creators
- 1. Istanbul Bilgi Univ, Eski Silahtaraga Elektrik Santrali, Dept Math Sci, Kazim Karabekir Cad 2-13, TR-34060 Istanbul, Turkey
- 2. Antalya Int Univ, Univ Cad 2, TR-07190 Antalya, Turkey
Description
In this paper, we study a special class of Finsler metrics, (alpha, beta)-metrics, defined by F = alpha phi(beta/alpha), where alpha is a Riemannian metric and beta is a 1-form. We find an equation that characterizes Ricci -flat (a, fl) -metrics under the condition that the length of beta with respect to a is constant.
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