Twistor transforms of quaternionic functions and orthogonal complex structures
By Graziano Gentili, S. Salamon, Caterina Stoppato. 2012
66 citations recorded by the source corpus.
The theory of slice regular functions of a quaternion variable is applied to the study of orthogonal complex structures on domains \Omega\ of R^4. When \Omega\ is a symmetric slice domain, the twistor transform of such a function is a holomorphic curve in the Klein quadric. The case in which \Omega\ is the complement of a parabola is studied in detail and described by a rational quartic surface in the twistor space CP^3.
Subfields: Applied Mathematics
View Paper: https://www.semanticscholar.org/paper/b213b47adb7ad6d053d8fa73b95a5ab77dc0da0a
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Applied Mathematics
- Caterina Stoppato
- Riccardo Ghiloni
- A. Perotti
- Fabrizio Colombo
- Irene Sabadini
- Daniele C. Struppa
- Graziano Gentili
- S. Salamon
Citations in the corpus
- The algebra of slice functions (2015, background): “The theory has then developed in subsequent literature, along with its applications to problems arising from other fields of mathematics: the definition of a functional calculus on such algebras (see [6, 15]); the construction and classification of orthogonal complex structures on open dense subsets”