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.
Slice regular functions and orthogonal complex structures over $mathbb R^8$ / Ghiloni, Riccardo; Perotti, Alessandro; Stoppato, Caterina. - In: JOURNAL OF NONCOMMUTATIVE GEOMETRY. - ISSN 1661-6952. - 16:2(2022), pp. 637-676. [10.4171/JNCG/452]
Slice regular functions and orthogonal complex structures over $mathbb R^8$.
Ghiloni, Riccardo;Perotti, Alessandro;Stoppato, Caterina
2022-01-01
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.File in questo prodotto:
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