مشخصات پژوهش

In this paper, we investigate the codimension reduction theorem for an n-dimensional submanifold of an (n + p)-dimensional manifold (M˜ , g˜) with a conformal change ˜g = exp(−f)g where g denotes the Fubini-study metric on (n + p)-dimensional complex projective space P n+p (C). Moreover, we tend to calculate the scalar curvature of an n-dimensional CR submanifold of maximal CR dimension of (M˜ , g˜) and achieve the sufficient conditions for the existence of a totally geodesic submanifold M that includes M.