PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.) Vol. 46(60), pp. 163172 (1989) 

On Riemannian 4symmetric manifoldsAdnan AlAqeelDepartment of Mathematics, Kuwait University, KuwaitAbstract: If $M$ is a Riemannian 4symmetric manifold, then it is known that $M$ has three complex differentiable distributions $D_{1}$, $D_1$ and $\overline D_1$ on it. We shall prove that there are three differentiable complementry projection operators $P$, $P_1$ and $\overline P_1$ on $M$ that project on $D_{1}$, $D_1$ and $\overline D_1$ respectively. Some useful relations containing Nijenhuis tensor are found. Necessary and sufficient conditions for $D_{1}$, $D_1$, and $\overline D_1$ to be integrable are studied. Classification (MSC2000): 53C15 Full text of the article:
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© 2001 Mathematical Institute of the Serbian Academy of Science and Arts
