Twistor transforms of quaternionic functions and orthogonal complex structures

Gentili, Graziano, Salamon, Simon, and Stoppato, Caterina. "Twistor transforms of quaternionic functions and orthogonal complex structures." Journal of the European Mathematical Society 016.11 (2014): 2323-2353. <http://eudml.org/doc/277500>.

@article{Gentili2014,
abstract = {The theory of slice-regular functions of a quaternion variable is applied to the study of orthogonal complex structures on domains $\Omega $ of $\mathbb \{R\}^4$. 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 $\mathbb \{C\}P^3$.},
author = {Gentili, Graziano, Salamon, Simon, Stoppato, Caterina},
journal = {Journal of the European Mathematical Society},
keywords = {orthogonal complex structures; quaternions; regular quaternionic functions; twistor methods; orthogonal complex structures; quaternions; regular quaternionic functions; twistor methods},
language = {eng},
number = {11},
pages = {2323-2353},
publisher = {European Mathematical Society Publishing House},
title = {Twistor transforms of quaternionic functions and orthogonal complex structures},
url = {http://eudml.org/doc/277500},
volume = {016},
year = {2014},
}

TY - JOUR
AU - Gentili, Graziano
AU - Salamon, Simon
AU - Stoppato, Caterina
TI - Twistor transforms of quaternionic functions and orthogonal complex structures
JO - Journal of the European Mathematical Society
PY - 2014
PB - European Mathematical Society Publishing House
VL - 016
IS - 11
SP - 2323
EP - 2353
AB - The theory of slice-regular functions of a quaternion variable is applied to the study of orthogonal complex structures on domains $\Omega $ of $\mathbb {R}^4$. 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 $\mathbb {C}P^3$.
LA - eng
KW - orthogonal complex structures; quaternions; regular quaternionic functions; twistor methods; orthogonal complex structures; quaternions; regular quaternionic functions; twistor methods
UR - http://eudml.org/doc/277500
ER -