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Diffeomorphisms of the circle and hyperbolic curvature

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Publication:2761197
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DOI10.1090/S1088-4173-01-00066-2zbMath1039.53020OpenAlexW1696075560MaRDI QIDQ2761197

David A. Singer

Publication date: 17 December 2001

Published in: Conformal Geometry and Dynamics of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s1088-4173-01-00066-2


zbMATH Keywords

diffeomorphismhyperbolic planefour-vertex theoremclosed convex curves


Mathematics Subject Classification ID

Spherical and hyperbolic convexity (52A55) Differential invariants (local theory), geometric objects (53A55)


Related Items (4)

Vertex-type curves in constant angle surfaces of ℋ𝓎𝓅²×ℝ ⋮ A discrete four vertex theorem for hyperbolic polygons ⋮ Closed 1/2-elasticae in the hyperbolic plane ⋮ Variations on R. Schwartz's inequality for the Schwarzian derivative



Cites Work

  • Sturm theory, Ghys theorem on zeroes of the Schwarzian derivative and flattening of Legendrian curves
  • On the inversive differential geometry of plane curves
  • On the (2k + 2)-vertex and (2k + 2)-flattening theorems in higher dimensional Lobatchevskian space
  • The Four-Vertex Theorem for Surfaces of Constant Curvature


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