带有四分之一对称度量联络SP-Sasaki流形的曲率

CURVATURE OF SP SASAKIAN MANIFOLD WITH QUARTER SYMMETRIC METRIC CONNECTION

本文研究了带有四分之一对称度量联络的Ｐ－Ｓａｓａｋｉ流形和ＳＰ－Ｓａｓａｋｉ流形的性质．在此类流形的两种联络之下，讨论了它们的曲率之间的关系．最终得出了若ＳＰ－Ｓａｓａｋｉ流形在四分之一对称度量联络之下是常曲率的，则在Ｒｉｅｍａｎｎ联络之下。

This paper studies P Sasakian manifold and SP Sasakian manifold which admit quarter Symmetric metric connection . First this paper deals with the relation between curvatures of Riemann Connection D and curvatures of the quarter Symmetric metric connection . Next, this paper proves that if the manifold is of constant curvature under the qurarter Symmetric metric connection , then one is of quasi constant curvature.