On an Einstein Projective Sasakian Manifold

نویسندگان

  • Quddus Khan
  • Q. Khan
چکیده

In this paper, we have proved that a projectively flat Sasakian manifold is an Einstein manifold. Also, if an Einstein-Sasakian manifold is projectively flat, then it is locally isometric with a unit sphere S(1). It has also been proved that if in an Einsten-Sasakian manifold the relation K(X, Y ).P = 0 holds, then it is locally isometric with a unit sphere S(1). AMS Mathematics Subject Classification (2000): 53B05, 53B15

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تاریخ انتشار 2006