International Journal of Mathematics and Mathematical Sciences
Volume 17 (1994), Issue 1, Pages 197-200
doi:10.1155/S0161171294000281
CR-hypersurfaces 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 proved that there does not exist a proper CR-hypersurface of S6 with parallel second fundamental form. As a result of this we showed that S6 does not admit a proper CR-totally umbilical hypersurface. We also proved that an Einstein proper CR-hypersurface of S6 is an extrinsic sphere.