General criteria for curves to be simple

DOI10.1016/J.JMAA.2018.04.050zbMath1394.53003OpenAlexW2801096543WikidataQ129910194 ScholiaQ129910194MaRDI QIDQ1748349

Martin Chuaqui Farrú

Publication date: 9 May 2018

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2018.04.050

zbMATH Keywords

Euclidean spacecurvaturedisconjugacyextremal curvesimple curveAhlfors' Schwarzian

Mathematics Subject Classification ID

Curves in Euclidean and related spaces (53A04) Projective differential geometry (53A20)

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
• An Ahlfors derivative for conformal immersions
• Injectivity of minimal immersions and homeomorphic extensions to space
• Univalence criteria and surfaces in hyperbolic space.
• Simple curves in $\mathbb {R}^n$ and Ahlfors’ Schwarzian derivative
• Löwnersche Differentialgleichung und quasikonform fortsetzbare schlichte Funktionen.
• The Schwarzian derivative and schlicht functions

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