Nearly Kähler 6-Manifolds with Reduced Holonomy
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.
Domains
Differential Geometry [math.DG]Origin | Files produced by the author(s) |
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