Slice regular functions and orthogonal complex structures over
Riccardo Ghiloni
Università di Trento, ItalyAlessandro Perotti
Università di Trento, ItalyCaterina Stoppato
Università di Firenze, Italy
![Slice regular functions and orthogonal complex structures over $\mathbb{R}^8$ cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-jncg-volume-16-issue-2.png&w=3840&q=90)
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 this article
Riccardo Ghiloni, Alessandro Perotti, Caterina Stoppato, Slice regular functions and orthogonal complex structures over . J. Noncommut. Geom. 16 (2022), no. 2, pp. 637–676
DOI 10.4171/JNCG/452