Dergiler / Konuralp Journal of Mathematics / 2015 / Cilt: 3 Sayı: 2

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

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

Selahattin BEYENDI, Nesip AKTAN, Ali İhsan SIVRIDAĞ

Sayfa
245–253
DOI
—

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.