International Journal of Mathematics and Mathematical Sciences
Volume 15 (1992), Issue 3, Pages 589-592
doi:10.1155/S0161171292000747

Totally real surfaces in CP2 with parallel mean curvature vector

M.A. Al-Gwaiz and Sharief Deshmukh

Department of Mathematics, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia

Abstract

It has been shown that a totally real surface in CP2 with parallel mean curvature vector and constant Gaussian curvature is either flat or totally geodesic.