On Ahlfors' imaginary Schwarzian

DOI10.5186/AASFM.2021.4628zbMath1481.53016OpenAlexW3174148035MaRDI QIDQ4958524

Martin Chuaqui Farrú

Publication date: 14 September 2021

Published in: Annales Fennici Mathematici (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5186/aasfm.2021.4628

zbMATH Keywords

Möbius transformationoverdetermined problemosculating sphereAhlfors' Schwarzian for curvesimaginary Schwarzian

Mathematics Subject Classification ID

Curves in Euclidean and related spaces (53A04) Geometric function theory (30C99) Differential invariants (local theory), geometric objects (53A55) Differential geometry of submanifolds of Möbius space (53A31)

Cites Work

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• Injectivity criteria for holomorphic curves in \(\mathbb{C}^n\)
• Univalence criteria for lifts of harmonic mappings to minimal surfaces
• On Ahlfors' Schwarzian derivative and knots
• The Schwarzian derivative and conformal mapping of Riemannian manifolds
• Quasiconformal extensions to space of Weierstrass-Enneper lifts
• An Ahlfors derivative for conformal immersions
• Möbius parametrizations of curves in \({\mathbb{R}}^n\)
• Simple curves in $\mathbb {R}^n$ and Ahlfors’ Schwarzian derivative

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