CR-submanifolds of generalized \(f.p.k.\)-space forms (Q2260771)

Summary: 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 \(\xi_\alpha\)-horizontal (and vertical) CR-submanifold of a generalized \(f.p.k.\)-space form and an upper bound for minimal \(\xi_\alpha\)-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 \(C(\alpha)\)-manifolds.