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Rezaei, B., Rafie-Rad, M. (2011). On Matsumoto metrics of special Ricci tensor. Iranian Journal of Science and Technology (Sciences), 35(2), 125-130. doi: 10.22099/ijsts.2011.2136
B. Rezaei; M. Rafie-Rad. "On Matsumoto metrics of special Ricci tensor". Iranian Journal of Science and Technology (Sciences), 35, 2, 2011, 125-130. doi: 10.22099/ijsts.2011.2136
Rezaei, B., Rafie-Rad, M. (2011). 'On Matsumoto metrics of special Ricci tensor', Iranian Journal of Science and Technology (Sciences), 35(2), pp. 125-130. doi: 10.22099/ijsts.2011.2136
Rezaei, B., Rafie-Rad, M. On Matsumoto metrics of special Ricci tensor. Iranian Journal of Science and Technology (Sciences), 2011; 35(2): 125-130. doi: 10.22099/ijsts.2011.2136

On Matsumoto metrics of special Ricci tensor

Article 7, Volume 35, Issue 2, Spring 2011, Page 125-130  XML PDF (72 K)
Document Type: Regular Paper
DOI: 10.22099/ijsts.2011.2136
Authors
B. Rezaei 1; M. Rafie-Rad2
1Faculty of Science, Department of Mathematics, Urmia University, Urmia, Iran
2Faculty of science, Department of Mathematics Mazandaran University, P.O. Box 47416-1467, Babolsar, Iran
Abstract
In this paper, the Matsumoto metric with special Ricci tensor has been investigated. It is proved that, if  is of
positive (negative) sectional curvature and F is of  -parallel Ricci curvature with constant killing 1-form ,
then (M,F) is a Riemannian Einstein space. In fact, we generalize the Riemannian result established by Akbar-
Zadeh.
Keywords
Matsumoto metric; Ricci parallel tensor; Einstein Finsler space
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