Manifolds with holonomy U*(2m)
Differential Geometry
2014-03-28 v1
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.
Keywords
Cite
@article{arxiv.1403.7133,
title = {Manifolds with holonomy U*(2m)},
author = {Nigel Hitchin},
journal= {arXiv preprint arXiv:1403.7133},
year = {2014}
}
Comments
Based on the author's Santalo Lecture delivered in the Universidad Complutense, Madrid on October 10th 2013. To appear in the Revista Matem\'atica Complutense