International Journal of Mathematics and Mathematical Sciences
Volume 18 (1995), Issue 1, Pages 201-203
doi:10.1155/S0161171295000251

On CR-submanifolds of the six-dimensional sphere

M.A. Bashir

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

Abstract

We consider proper CR-submanifolds of the six-dimensional sphere S6. We prove that S6 does not admit compact proper CR-submanifolds with non-negative sectional curvature and integrable holomorphic distribution.