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Nearly Kähler 6-Manifolds with Reduced Holonomy

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Abstract

We consider a complete six-dimensional nearly Kählermanifold together with the first canonical Hermitian connection. We showthat if the holonomy of this connection is reducible, then the manifoldendowed with a modified metric and almost complex structure is aKählerian twistor space. This result was conjectured byReyes-Carrión.

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Authors and Affiliations

  1. Institut für Reine Mathematik, Humboldt Universität zu Berlin, Ziegelstr. 13a, 10099, Berlin, Germany

    Florin Belgun

  2. Centre de Mathématiques, École Polytechnique (UMR 7640 du CNRS), 91128, Palaiseau, France

    Andrei Moroianu

Authors
  1. Florin Belgun
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  2. Andrei Moroianu
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Belgun, F., Moroianu, A. Nearly Kähler 6-Manifolds with Reduced Holonomy. Annals of Global Analysis and Geometry 19, 307–319 (2001). https://doi.org/10.1023/A:1010799215310

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