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On $6$-Dimensional Nearly Kähler Manifolds

  Published:2010-06-11
 Printed: Sep 2010
  • Yoshiyuki Watanabe,
    Unversity of Toyama, Department of Mathematics, Toyama 930-8555, Japan (Professor Emeritus)
  • Young Jin Suh,
    Kyungpook National University, Department of Mathematics, Taegu 702-701, Korea
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Abstract

In this paper we give a sufficient condition for a complete, simply connected, and strict nearly Kähler manifold of dimension 6 to be a homogeneous nearly Kähler manifold. This result was announced in a previous paper by the first author.
Keywords: Nearly Kähler manifold, 6-dimension, Homogeneous, The 1st Chern Class, Einstein manifolds Nearly Kähler manifold, 6-dimension, Homogeneous, The 1st Chern Class, Einstein manifolds
MSC Classifications: 53C40, 53C15 show english descriptions Global submanifolds [See also 53B25]
General geometric structures on manifolds (almost complex, almost product structures, etc.)
53C40 - Global submanifolds [See also 53B25]
53C15 - General geometric structures on manifolds (almost complex, almost product structures, etc.)
 

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