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Abstract
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International Journal of Mathematics and Mathematical Sciences
Volume 22 (1999), Issue 1, Pages 205-208
doi:10.1155/S0161171299222053

Totally real submanifolds in a complex projective space

Ximin Liu

Department of Mathematics, Nankai University, Tianjin 300071, China

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.