Totally real submanifolds in a complex projective space

Abstract

In this paper, we establish the following result: Let M be an n-dimensional complete totally real minimal submanifold immersed in CPn with Ricci curvature bounded from below. Then either M is totally geodesic or inf r≤(3n+1)(n−2)/3, where r is the scalar curvature of M.

Keywords

• Complex projective space
• totally real submanifold
• Ricci curvature.