NOTES ON WEAKLY CYCLIC Z-SYMMETRIC MANIFOLDS

초록

In this paper, we study some geometric structures of a weakly cyclic Z-symmetric manifold (briefly, [WCZS](n)). More precisely, we prove that a conformally flat [WCZS](n) satisfying certain conditions is special conformally flat and hence the manifold can be isometrically immersed in an Euclidean manifold En+1 as a hypersurface if the manifold is simply connected. Also we show that there exists a [WCZS](4) with one parameter family of its associated 1-forms.

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