Title of article :
On Matsumoto metrics of special Ricci tensor
Author/Authors :
Rezaei، B نويسنده Faculty of Science, Department of Mathematics, Urmia University, Urmia, Iran Rezaei, B , Rafie-Rad، M نويسنده Faculty of science, Department of Mathematics Mazandaran University, P.O. Box 47416-1467, Babolsar, Iran Rafie-Rad, M
Issue Information :
فصلنامه با شماره پیاپی 0 سال 2011
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.
Journal title :
Iranian Journal of Science and Technology Transaction A: Science
Journal title :
Iranian Journal of Science and Technology Transaction A: Science
