A direct approach to quaternionic manifolds

DOI10.1002/mana.201500489zbMath1361.30086arXiv1612.03685OpenAlexW2562573660MaRDI QIDQ2965310

Graziano Gentili, Giulia Sarfatti, Anna Gori

Publication date: 2 March 2017

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.03685

zbMATH Keywords

quaternionic manifoldsregular functions of quaternionic variables

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)

Related Items (6)

On compact affine quaternionic curves and surfaces ⋮ Slice conformality and Riemann manifolds on quaternions and octonions ⋮ Homotopy of manifolds stabilized by projective spaces ⋮ Quaternionic slice regularity beyond slice domains ⋮ On a continuation of quaternionic and octonionic logarithm along curves and the winding number ⋮ Slice-quaternionic Hopf surfaces

Cites Work

• A new series expansion for slice regular functions
• Twistor transforms of quaternionic functions and orthogonal complex structures
• Slice regular functions on real alternative algebras
• Quaternionic Kleinian modular groups and arithmetic hyperbolic orbifolds over the quaternions
• Quaternionic manifolds
• On the principle of uniformization
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• Quaternionic determinants
• Die Funktionentheorie der Differentialgleichungen \(\Delta u=0\) und \(\Delta\Delta u=0\) mit vier reellen Variablen
• A new theory of regular functions of a quaternionic variable
• Moebius transformations and the Poincare distance in the quaternionic setting
• Les déterminants sur un corps non commutatif

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