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
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.
Top