On rotation of complex structures
Differential Geometry
2014-01-10 v2
Abstract
We put in a general framework the situations in which a Riemannian manifold admits a family of compatible complex structures, including hyperkahler metrics and the Spin-rotations of arxiv:1302.2846. We determine the (polystable) holomorphic bundles which are rotable, i.e., they remain holomorphic when we change a complex structure by a different one in the family.
Cite
@article{arxiv.1307.8000,
title = {On rotation of complex structures},
author = {Vicente Muñoz},
journal= {arXiv preprint arXiv:1307.8000},
year = {2014}
}
Comments
14 pages. Accepted in J. Geom. Phys