Abstract: The notion of finite type submanifolds was introduced by B. Y. Chen. In this paper the conjectures on scalar curvature of Veronese generating submanifolds in Eσ and the minimal conjecture on Veronese space-like submanifold Σ and Veronese pseudo-Riemannian submanifold ...  in E₁^σ are proved.We have Σ is minimal in H5. （?） is minimal in ..  are of 1-type in E₁^σ.

Key words:  , Finite Type Submanifolds, Mnimal Submanifolds, Veronese Generating Submanifolds.