ON INVARIANT SUBMANIFOLDS OF ALMOST $\alpha$-COSYMPLECTIC $f$-MANIFOLDS

Authors : Selahattin Beyendi, Nesip Aktan, Ali Ihsan Sivridağ

Pages : 245-253

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Publication Date : 2015-10-01

Article Type : Research

Abstract :In this paper, we investigate some properties of invariant submanifolds of almost $\alpha$-cosymplectic f- manifolds. We show that every invariant submanifold of an almost $\alpha$ -cosymplectic f- manifold with Kaehlerian leaves is also an almost  $\alpha$ -cosymplectic f- manifold with Kaehlerian leaves. Moreover, we give a theorem on minimal invariant submanifold and obtain a necessary condition on a invariant submanifold to be totally geodesic. Finally, we study some properties of the curvature tensors of M and fM.
Keywords : Almost -cosypmlectic f-manifold, invariant submanifold, semi parallel and 2-semi parallel submanifold