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.
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
MLA
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
HARVARD
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
VANCOUVER
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
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