Slice regular functions and orthogonal complex structures over $\mathbb{R}^8$
Complex Variables
2022-10-13 v2
Abstract
This work looks at the theory of octonionic slice regular functions through the lens of differential topology. It proves a full-fledged version of the Open Mapping Theorem for octonionic slice regular functions. Moreover, it opens the path for a possible use of slice regular functions in the study of almost-complex structures in eight dimensions.
Cite
@article{arxiv.2109.12902,
title = {Slice regular functions and orthogonal complex structures over $\mathbb{R}^8$},
author = {Riccardo Ghiloni and Alessandro Perotti and Caterina Stoppato},
journal= {arXiv preprint arXiv:2109.12902},
year = {2022}
}
Comments
35 pages, published online in the Journal of Noncommutative Geometry