International Journal of Mathematics and Mathematical Sciences
Volume 16 (1993), Issue 2, Pages 405-408
doi:10.1155/S016117129300050X
On totally umbilical CR-submanifolds of a Kaehler manifold
M.A. Bashir
Mathematics Department, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia
Abstract
Let M be a compact 3-dimensional totally umbilical CR-submanifold of a Kaehler manifold of positive holomorphic sectional curvature. We prove that if the length of the mean curvature vector of M does not vanish, then M is either diffeomorphic to S3 or RP3 or a lens space Lp,q3.