an:06255446
Zbl 1289.53089
Zengin, F??sun ??zen
M-projectively flat spacetimes
EN
Math. Rep., Bucur. 14(64), No. 4, 363-370 (2012).
00329079
2012
j
53C15 53C25 53B15 53B20 83C05
M-projective curvature tensor; energy-momentum tensor; Killing vector field; conformal Killing vector field; symmetry inheritance property; quadratic Killing tensor; quadratic conformal Killing tensor
Summary: The object of the present paper is to study M-projectively flat Rimannian manifolds. It is shown that an M-projectively flat Riemannian manifold is an Einstein manifold. In addition, some theorems about energy-momentum tensors satisfying the Einstein field equations with a cosmological constant of the M-projectively flat spacetime are proved.