On Matsumoto metrics of special Ricci tensor
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زبان مدرک
Englishچکیده
In this paper, the Matsumoto metric with special Ricci tensor has been investigated. It is proved that, if is ofpositive (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.
کلید واژگان
Matsumoto metricRicci parallel tensor
Einstein Finsler space
شماره نشریه
2تاریخ نشر
2011-05-011390-02-11
ناشر
Springerسازمان پدید آورنده
Faculty of Science, Department of Mathematics, Urmia University, Urmia, IranFaculty of science, Department of Mathematics Mazandaran University, P.O. Box 47416-1467, Babolsar, Iran
