Nearly Kähler 6-Manifolds with Reduced Holonomy
Belgun, Florin ; Moroianu, Andrei
HAL, hal-00125996 / Harvested from HAL
Text on HAL
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.
Publié le : 2001-07-05
Classification:  nearly Kähler manifolds,  twistor spaces,  [MATH.MATH-DG]Mathematics [math]/Differential Geometry [math.DG] 
@article{hal-00125996,
     author = {Belgun, Florin and Moroianu, Andrei},
     title = {Nearly K\"ahler 6-Manifolds with Reduced Holonomy},
     journal = {HAL},
     volume = {2001},
     number = {0},
     year = {2001},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00125996}
}

Belgun, Florin; Moroianu, Andrei. Nearly Kähler 6-Manifolds with Reduced Holonomy. HAL, Tome 2001 (2001) no. 0, . http://gdmltest.u-ga.fr/item/hal-00125996/