Ianuş, Stere; Marchiafava, Stefano; Ornea, Liviu; Pantilie, Radu Twistorial maps between quaternionic manifolds. (English) Zbl 1193.53121 Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 9, No. 1, 47-67 (2010). Authors’ abstract: We introduce a natural notion of quaternionic map between almost quaternionic manifolds and we prove the following, for maps of rank at least one:\(\bullet\) A map between quaternionic manifolds endowed with an integrable almost twistorial structure is twistorial if and only if it is quaternionic.\(\bullet\) A map between quaternionic manifolds endowed with a nonintegrable almost twistorial structure is twistorial if and only if it is quaternionic and totally-geodesic. As an application, we describe all quaternionic maps between open sets of quaternionic projective spaces. Reviewer: Witold Mozgawa (Lublin) Cited in 5 Documents MSC: 53C28 Twistor methods in differential geometry 53C26 Hyper-Kähler and quaternionic Kähler geometry, “special” geometry Keywords:almost quaternionic structure; quaternionic manifold; quaternionic map; A-equivalent; hypercomplex linear map; integrable; twistorial map PDFBibTeX XMLCite \textit{S. Ianuş} et al., Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 9, No. 1, 47--67 (2010; Zbl 1193.53121) Full Text: DOI arXiv