location:  Publications → journals → CMB
Abstract view

# 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
 Format: HTML LaTeX MathJax PDF

## 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
 MSC Classifications: 53C40 - Global submanifolds [See also 53B25] 53C15 - General geometric structures on manifolds (almost complex, almost product structures, etc.)