International Journal of Mathematics and Mathematical Sciences
Volume 15 (1992), Issue 1, Pages 107-110
doi:10.1155/S0161171292000127

Almost complex surfaces in the nearly Kaehler S6

Sharief Deshmukh

Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia

Abstract

It is shown that a compact almost complex surface in S6 is either totally geodesic or the minimum of its Gaussian curvature is less than or equal to 1/3.