On Ahlfors' Schwarzian derivative and knots

• Autores: Martin Chuaqui
• Localización: Pacific journal of mathematics, ISSN 0030-8730, Vol. 231, Nº 1, 2007, págs. 51-62
• Idioma: inglés
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• Resumen

  • We extend Ahlfors¿ definition of the Schwarzian derivative for curves in euclidean space to include curves on arbitrary manifolds, and give applications to the classical spaces of constant curvature. We also derive in terms of the Schwarzian a sharp criterion for a closed curve in R3 to be unknotted.