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.
Almost -cosypmlectic f-manifold invariant submanifold semi parallel and 2-semi parallel submanifold
Primary Language | English |
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Subjects | Engineering |
Journal Section | Articles |
Authors | |
Publication Date | October 1, 2015 |
Submission Date | July 10, 2014 |
Published in Issue | Year 2015 Volume: 3 Issue: 2 |