Geometriae Dedicata

, Volume 27, Issue 3, pp 325–334

On totally real surfaces of the nearly Kaehler 6-sphere

  • F. Dillen
  • B. Opozda
  • L. Verstraelen
  • L. Vrancken


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.


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Copyright information

© Kluwer Academic Publishers 1988

Authors and Affiliations

  • F. Dillen
    • 1
  • B. Opozda
    • 2
  • L. Verstraelen
    • 1
  • L. Vrancken
    • 1
  1. 1.Department of MathematicsKatholieke Universiteit LeuvenLeuvenBelgium
  2. 2.Department of MathematicsUniversity of CracówCracówPoland

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