Slice conformality and Riemann manifolds on quaternions and octonions
From MaRDI portal
Publication:2172500
DOI10.1007/s00209-022-03079-4OpenAlexW4289518748WikidataQ114231057 ScholiaQ114231057MaRDI QIDQ2172500
Fabio Vlacci, Graziano Gentili, Jasna Prezelj
Publication date: 15 September 2022
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2107.07892
Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Functions of hypercomplex variables and generalized variables (30G35) Riemann surfaces (30F99)
Related Items (3)
On a definition of logarithm of quaternionic functions ⋮ On a continuation of quaternionic and octonionic logarithm along curves and the winding number ⋮ \(\ast\)-logarithm for slice regular functions
Cites Work
- Unnamed Item
- Singularities of slice regular functions over real alternative \(^{\ast}\)-algebras
- Slice regular functions on real alternative algebras
- Noncommutative functional calculus. Theory and applications of slice hyperholomorphic functions
- Zeros of regular functions of quaternionic and octonionic variable: a division lemma and the camshaft effect
- The Weierstrass factorization theorem for slice regular functions over the quaternions
- Regular functions on the space of Cayley numbers
- On quaternionic tori and their moduli space
- Geometric function theory over quaternionic slice domains
- Slice-quaternionic Hopf surfaces
- On compact affine quaternionic curves and surfaces
- On a class of orientation-preserving maps of \(\mathbb{R}^4\)
- Regular Functions of a Quaternionic Variable
- A direct approach to quaternionic manifolds
- The algebra of slice functions
- Division algebras of slice functions
- On a Criterion of Local Invertibility and Conformality for Slice Regular Quaternionic Functions
- A local representation formula for quaternionic slice regular functions
This page was built for publication: Slice conformality and Riemann manifolds on quaternions and octonions
