On Wintgen Ideal Submanifolds Satisfying Some Pseudo-symmetry Type Curvature Conditions

Let M be a Wintgen ideal submanifold of dimension n in a real space form Rn+m ((k) over tilde of dimension (n + m , of constant curvature (k) over tilde, n >= 4, m >= 1. We determine necessary and sufficient conditions for M to be a submanifold satisfying pseudo-symmetry type curvature conditions of the form: the derivation-commutator R.C - C.R (resp., the tensors R.C and C.R formed by the Riemann- Christoffel curvature tensor R and the Weyl conformal curvature tensor C of M, some Tachibana tensors formed by the metric tensor g , the Ricci tensor Ricc and the tensors R and C of M are linearly dependent.