Slice regular functions and orthogonal complex structures over

  • Riccardo Ghiloni

    Università di Trento, Italy
  • Alessandro Perotti

    Università di Trento, Italy
  • Caterina Stoppato

    Università di Firenze, Italy
Slice regular functions and orthogonal complex structures over $\mathbb{R}^8$ cover
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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