Nearly Kähler 6-Manifolds with Reduced Holonomy
- Cite this article as:
- Belgun, F. & Moroianu, A. Annals of Global Analysis and Geometry (2001) 19: 307. doi:10.1023/A:1010799215310
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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.