On totally real surfaces of the nearly Kaehler 6-sphere

✍ Scribed by F. Dillen; B. Opozda; L. Verstraelen; L. Vrancken

• Publisher: Springer
• Year: 1988
• Tongue: English
• Weight: 294 KB
• Volume: 27
• Category: Article
• ISSN: 0046-5755
• DOI: 10.1007/bf00181497

✦ Synopsis

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 either 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).