Twistor transforms of quaternionic functions and orthogonal complex structures

DOI10.4171/JEMS/488zbMath1310.53045arXiv1205.3513MaRDI QIDQ484248

Caterina Stoppato, Graziano Gentili, S. M. Salamon

Publication date: 6 January 2015

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.3513

zbMATH Keywords

quaternionstwistor methodsorthogonal complex structuresregular quaternionic functions

Mathematics Subject Classification ID

Rational and ruled surfaces (14J26) Global differential geometry of Hermitian and Kählerian manifolds (53C55) Functions of hypercomplex variables and generalized variables (30G35) Twistor methods in differential geometry (53C28)

Related Items (33)

Growth and distortion theorems for slice monogenic functions ⋮ Conformal automorphisms of algebraic surfaces and algebraic curves in the complex projective space ⋮ Slice regular functions as covering maps and global \(\star\)-roots ⋮ Slice-polynomial functions and twistor geometry of ruled surfaces in \(\mathbb {CP}^3\) ⋮ Starlikeness for functions of a hypercomplex variable ⋮ s-regular functions which preserve a complex slice ⋮ On a class of orientation-preserving maps of \(\mathbb{R}^4\) ⋮ Generalized Bohr radius for slice regular functions over quaternions ⋮ Slice Fueter-regular functions ⋮ Orthogonal complex structures in $\mathbb{R}^4$ ⋮ Twistor interpretation of slice regular functions ⋮ Adaptive Fourier decomposition of slice regular functions ⋮ Twistor fibers in hypersurfaces of the flag threefold ⋮ A direct approach to quaternionic manifolds ⋮ Some Notions of Subharmonicity over the Quaternions ⋮ On the real differential of a slice regular function ⋮ The algebra of slice functions ⋮ Slice Dirac operator over octonions ⋮ Landau’s theorem for slice regular functions on the quaternionic unit ball ⋮ Slice Regular Functions on Regular Quadratic Cones of Real Alternative Algebras ⋮ Twistor lines on algebraic surfaces ⋮ Weak slice regular functions on the \(n\)-dimensional quadratic cone of octonions ⋮ A new approach to slice analysis via slice topology ⋮ On geometric aspects of quaternionic and octonionic slice regular functions ⋮ Geometric function theory over quaternionic slice domains ⋮ Three topological results on the twistor discriminant locus in the 4-sphere ⋮ ALGEBRAIC SURFACES WITH INFINITELY MANY TWISTOR LINES ⋮ Cauchy kernel of slice Dirac operator in octonions with complex spine ⋮ On a Criterion of Local Invertibility and Conformality for Slice Regular Quaternionic Functions ⋮ Slice-quaternionic Hopf surfaces ⋮ Slice regular functions and orthogonal complex structures over \(\mathbb{R}^8\) ⋮ Slice-by-slice and global smoothness of slice regular and polyanalytic functions ⋮ Twistor geometry of the flag manifold

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