Integral conditions on the Schwarzian for curves to be simple or unknotted

DOI10.1090/S0002-9939-10-10249-4zbMath1195.53006MaRDI QIDQ3559012

Martin Chuaqui Farrú

Publication date: 11 May 2010

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

knotsMöbius transformationsimple curvesAhlfors' Schwarzian

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Differential invariants (local theory), geometric objects (53A55)

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 total absolute curvature of closed curves in Riemannian manifolds
• Simple curves in $\mathbb {R}^n$ and Ahlfors’ Schwarzian derivative

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