Manifolds with holonomy U∗(2m)

We consider the geometry determined by a torsion-free affine connection whose holonomy lies in the subgroup U∗(2m) , a real form of GL(2m,C) , otherwise denoted by SL(m,H)⋅U(1) . We show in particular how examples may be generated from quaternionic Kähler or hyperkähler manifolds with a circ...

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Bibliographic Details
Main Author: Hitchin, N
Format: Journal article
Published: Springer 2014