# Twistor transforms of quaternionic functions and orthogonal complex structures

Graziano Gentili; Simon Salamon; Caterina Stoppato

Journal of the European Mathematical Society (2014)

- Volume: 016, Issue: 11, page 2323-2353
- ISSN: 1435-9855

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topGentili, 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 -

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