In this paper, we prove the following two main results: i) Let M be a mixed foliate non-trivial CR Submanifold of a Sasakian space form M(c). If the (D,⊥D) is ξ-horizontal, then c≤1. ii) Let M be a mixed faliate ge...In this paper, we prove the following two main results: i) Let M be a mixed foliate non-trivial CR Submanifold of a Sasakian space form M(c). If the (D,⊥D) is ξ-horizontal, then c≤1. ii) Let M be a mixed faliate generic Submanifold of a Sasakian Space form M^(2m)+1(c). If the(D,⊥) is ξ-horizontal and the f-structure P oa M is paralIel, then M is an (m+l)-dimensional anti-invariant Submanifold of M^(2m+1(c) or, c=1.展开更多
文摘In this paper, we prove the following two main results: i) Let M be a mixed foliate non-trivial CR Submanifold of a Sasakian space form M(c). If the (D,⊥D) is ξ-horizontal, then c≤1. ii) Let M be a mixed faliate generic Submanifold of a Sasakian Space form M^(2m)+1(c). If the(D,⊥) is ξ-horizontal and the f-structure P oa M is paralIel, then M is an (m+l)-dimensional anti-invariant Submanifold of M^(2m+1(c) or, c=1.
