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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
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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