Nearly Kähler 6-Manifolds with Reduced Holonomy - Archive ouverte HAL
Journal Articles Annals of Global Analysis and Geometry Year : 2001

Nearly Kähler 6-Manifolds with Reduced Holonomy

Florin Belgun
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  • PersonId : 829290
Andrei Moroianu
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  • PersonId : 828514

Abstract

We consider a complete six-dimensional nearly Kähler manifold together with the first canonical Hermitian connection. We show that if the holonomy of this connection is reducible, then the manifold endowed with a modified metric and almost complex structure is a Kählerian twistor space. This result was conjectured by Reyes-Carrión.
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hal-00125996 , version 1 (23-01-2007)

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Florin Belgun, Andrei Moroianu. Nearly Kähler 6-Manifolds with Reduced Holonomy. Annals of Global Analysis and Geometry, 2001, 19, pp.307-319. ⟨10.1023/A:1010799215310⟩. ⟨hal-00125996⟩
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