Annals of Global Analysis and Geometry

, Volume 19, Issue 4, pp 307–319

Nearly Kähler 6-Manifolds with Reduced Holonomy

  • Florin Belgun
  • Andrei Moroianu
Article

DOI: 10.1023/A:1010799215310

Cite this article as:
Belgun, F. & Moroianu, A. Annals of Global Analysis and Geometry (2001) 19: 307. doi:10.1023/A:1010799215310

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.

nearly Kähler manifolds twistor spaces 

Copyright information

© Kluwer Academic Publishers 2001

Authors and Affiliations

  • Florin Belgun
    • 1
  • Andrei Moroianu
    • 2
  1. 1.Institut für Reine MathematikHumboldt Universität zu BerlinBerlinGermany
  2. 2.Centre de Mathématiques, École Polytechnique (UMR 7640 du CNRS)PalaiseauFrance