On totally real surfaces of the nearly Kaehler 6-sphere |
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Authors: | F. Dillen B. Opozda L. Verstraelen L. Vrancken |
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Affiliation: | (1) Department of Mathematics, Katholieke Universiteit Leuven, B-3030 Leuven, Belgium;(2) Department of Mathematics, University of Craców, 30-059 Craców, Poland |
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Abstract: | Let M be a minimal totally real surface of the nearly Kaehler 6-sphere. We prove that if M is homeomorphic to a sphere, then M is totally geodesic. Consequently, if M is compact and has non-negative Gaussian curvature K, then eithe K=0 or K=1. Finally, we derive from these results that if M has constant Gaussian curvature K, then either K=0 or K=1.Aspirant Navorser N.F.W.O. (Belgium). |
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