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Contact normal submanifolds and contact generic normal submanifolds in Kenmotsu manifolds.

Minoru Kobayashi — 1991

Revista Matemática de la Universidad Complutense de Madrid

We study contact normal submanifolds and contact generic normal in Kenmotsu manifolds and in Kenmotsu space forms. Submanifolds mentioned above with certain conditions in forms space Kenmotsu are shown that they CR-manifolds, spaces of constant curvature, locally symmetric and Einsteinnian. Also, the non-existence of totally umbilical submanifolds in a Kenmotsu space form -1 is proven under a certain condition.

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