Manifolds with holonomy U*(2m)

Nigel Hitchin

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arXiv · 1403.7133

Manifolds with holonomy U*(2m)

Nigel Hitchin

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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 Kähler or hyperkähler manifolds with a circle action.

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BibTeX RIS

Nigel Hitchin. 2014-03-27. Manifolds with holonomy U*(2m). https://arxiv.org/abs/1403.7133

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