Totally real submanifolds in a complex projective space

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.

Bibliographic Details
Main Author: Liu Ximin
Format: Article
Language:English
Published: Hindawi Limited 1999-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171299222053