International Journal of Mathematics and Mathematical Sciences
Volume 17 (1994), Issue 1, Pages 197-200
-hypersurfaces of the six-dimensional sphere
Mathematics Department, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia
Received 23 July 1992
Copyright © 1994 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 proved that there does not exist a proper -hypersurface of with parallel second fundamental form. As a result of this we showed that does not admit a proper -totally umbilical hypersurface. We also proved that an Einstein proper -hypersurface of is an extrinsic sphere.