In this paper, we classify a special class of higher dimensional stationary manifolds. We consider an n dimensional manifold N with metric ds~2 = g_(ij) dx~idx~j which is embedded to an n + 1 dimensional stationary manifold M with metric ds~2 = ε/ω~2 (dt + α_idx~i)~2 + ω~2 g_(ij)dx~idx~j. The submanifold is taken to be almost complex manifold with parallel and integrable almost complex structure where dα is its Kahler form. We will demonstrate that the sub-manifold N is maximally symmetric space if manifold M is maximally symmetric space, otherwise the sub-manifold N is Einstein space if manifold M is Einstein space.
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