CR-Submanifolds of Generalized f.p.k.-Space Forms

Abstract EN

We study sectional curvature, Ricci tensor, and scalar curvature of submanifolds of generalized f.p.k.-space forms.

Then we give an upper bound for foliate ξα-horizontal (and vertical) CR-submanifold of a generalized f.p.k.-space form and an upper bound for minimal ξα-horizontal (and vertical) CR-submanifold of a generalized f.p.k.-space form.

Finally, we give the same results for special cases of generalized f.p.k.-space forms such as S-space forms, generalized Sasakian space forms, Sasakian space forms, Kenmotsu space forms, cosymplectic space forms, and almost C(α)-manifolds.