TY - JOUR
T1 - ON M-Projectively Flat LP-Sasakian Manifolds
AU - Zengin, F. Ö
PY - 2014/6
Y1 - 2014/6
N2 - In the present paper, we study the nature of LP-Sasakian manifolds admitting the M-projective curvature tensor. It is examined whether this manifold satisfies the condition W(X, Y) .R = 0. Moreover, it is proved that, in the M-projectively flat LP-Sasakian manifolds, the conditions R(X, Y) .R = 0 and R(X, Y) .S = 0 are satisfied. In the last part of the paper, an M-projectively flat space-time is introduced, and some properties of this space are obtained.
AB - In the present paper, we study the nature of LP-Sasakian manifolds admitting the M-projective curvature tensor. It is examined whether this manifold satisfies the condition W(X, Y) .R = 0. Moreover, it is proved that, in the M-projectively flat LP-Sasakian manifolds, the conditions R(X, Y) .R = 0 and R(X, Y) .S = 0 are satisfied. In the last part of the paper, an M-projectively flat space-time is introduced, and some properties of this space are obtained.
UR - http://www.scopus.com/inward/record.url?scp=84902304694&partnerID=8YFLogxK
U2 - 10.1007/s11253-014-0895-x
DO - 10.1007/s11253-014-0895-x
M3 - Article
AN - SCOPUS:84902304694
SN - 0041-5995
VL - 65
SP - 1725
EP - 1732
JO - Ukrainian Mathematical Journal
JF - Ukrainian Mathematical Journal
IS - 11
ER -