Slice regular functions and orthogonal complex structures over \(\mathbb{R}^8\)

DOI10.4171/JNCG/452WikidataQ113691974 ScholiaQ113691974MaRDI QIDQ2080305

Caterina Stoppato, Alessandro Perotti, Riccardo Ghiloni

Publication date: 7 October 2022

Published in: Journal of Noncommutative Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.12902

zbMATH Keywords

open mapping theoremhypercomplex analysishypercomplex algebrafunction of octonionic variableoctonionic almost-complex structureoctonionic slice regular functions

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Almost complex manifolds (32Q60) Other generalizations of function theory of one complex variable (32A30) Nonassociative division algebras (17A35)

Related Items (1)

Cauchy-Riemann operators and local slice analysis over real alternative algebras

Cites Work

• Singularities of slice regular functions over real alternative \(^{\ast}\)-algebras
• Twistor transforms of quaternionic functions and orthogonal complex structures
• Submanifolds and special structures on the octonians
• Slice regular functions on real alternative algebras
• Twistor geometry and warped product orthogonal complex structures
• Zeros of regular functions of quaternionic and octonionic variable: a division lemma and the camshaft effect
• Regular functions on the space of Cayley numbers
• Orthogonal complex structures on domains in \(\mathbb R^4\)
• On geometric aspects of quaternionic and octonionic slice regular functions
• A new theory of regular functions of a quaternionic variable
• A new approach to Cullen-regular functions of a quaternionic variable
• A Jacobian condition for interiority
• On a class of orientation-preserving maps of \(\mathbb{R}^4\)
• The algebra of slice functions
• Division algebras of slice functions
• The Open Mapping Theorem for Regular Quaternionic Functions
• HARMONIC MORPHISMS AND HERMITIAN STRUCTURES ON EINSTEIN 4-MANIFOLDS
• The octonions
• Power and spherical series over real alternative *-algebras
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