You are not currently logged in.
Access JSTOR through your library or other institution:
If You Use a Screen ReaderThis content is available through Read Online (Free) program, which relies on page scans. Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
On Totally Real 3-Dimensional Submanifolds of the Nearly Kaehler 6-Sphere
F. Dillen, B. Opozda, L. Verstraelen and L. Vrancken
Proceedings of the American Mathematical Society
Vol. 99, No. 4 (Apr., 1987), pp. 741-749
Published by: American Mathematical Society
Stable URL: http://www.jstor.org/stable/2046486
Page Count: 9
Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Preview not available
Let M be a compact 3-dimensional totally real submanifold of the nearly Kaehler 6-dimensional unit sphere. Let K be the sectional curvature function of M. Then, if $K > 1/16, M$ is a totally geodesic submanifold (and $K \equiv 1$).
Proceedings of the American Mathematical Society © 1987 American Mathematical Society