(Pluri)harmonic morphisms and the Penrose-Ward transform
Differential Geometry
2015-03-10 v2 Mathematical Physics
Algebraic Geometry
math.MP
Abstract
We show that, in quaternionic geometry, the Ward transform is a manifestation of the functoriality of the basic correspondence between the -quaternionic manifolds and their twistor spaces. We apply this fact, together with the Penrose transform, to obtain existence results for hypercomplex manifolds and for harmonic morphisms from hyper-Kaehler manifolds.
Cite
@article{arxiv.1502.06420,
title = {(Pluri)harmonic morphisms and the Penrose-Ward transform},
author = {Radu Pantilie},
journal= {arXiv preprint arXiv:1502.06420},
year = {2015}
}
Comments
Preprint, I.M.A.R., Bucharest, 2015, 19 pages