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Manifolds with holonomy U*(2m)

Published 27 Mar 2014 in math.DG | (1403.7133v1)

Abstract: 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 K\"ahler or hyperk\"ahler manifolds with a circle action.

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Authors (1)

  1. Nigel Hitchin 

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