(Pluri)harmonic morphisms and the Penrose-Ward transform

Autor:	Pantilie, Radu
Rok vydání:	2015
Předmět:	Mathematics - Differential Geometry Mathematical Physics Mathematics - Algebraic Geometry 53C28 53C43
Druh dokumentu:	Working Paper
Popis:	We show that, in quaternionic geometry, the Ward transform is a manifestation of the functoriality of the basic correspondence between the $\rho$-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. Comment: Preprint, I.M.A.R., Bucharest, 2015, 19 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1502.06420 Zobrazit plný text záznamu View this record from Arxiv