International Journal of Mathematics and Mathematical Sciences
Volume 18 (1995), Issue 1, Pages 201-203

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

Received 13 July 1993

Copyright © 1995 M. A. Bashir. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.