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A note on invariant submanifolds of CR-integrable almost Kenmotsu manifolds

Suh Young Jin (Department of Mathematics, Kyungpook National University, Taegu, South Korea)
Mandal Krishanu (Department of Pure Mathematics, University of Calcutta, West Bengal, India)
De Uday Chand (Department of Pure Mathematics, University of Calcutta, West Bengal, India)

The present paper deals with invariant submanifolds of CR-integrable almost Kenmotsu manifolds. Among others it is proved that every invariant submanifold of a CR-integrable (k,μ)'-almost Kenmotsu manifold with k < -1 is totally geodesic. Finally, we construct an example of an invariant submanifold of a CR-integrable (k,μ)'-almost Kenmotsu manifold which is totally geodesic.

Keywords: Almost Kenmotsu manifolds, CR-integrable, invariant submanifolds, totally geodesic