211 citations
- Universidad Nacional Autónoma de MéxicoMX29 papers
- Secretaría de Ciencia, Humanidades, Tecnología e InnovaciónMX19 papers
- Centre National de la Recherche ScientifiqueFR18 papers
- Universidad de Los AndesCO7 papers
- Unité de Mathématiques Pures et AppliquéesFR6 papers
- University of BathGB6 papers
- University of HelsinkiFI6 papers
- École Normale Supérieure de LyonFR5 papers
- École PolytechniqueFR5 papers
- Hokkaido UniversityJP5 papers
- Kansai UniversityJP5 papers
- Universidad Nacional de ColombiaCO5 papers
4 papers · 2 filters
Existence of Birkhoff sections for Kupka-Smale Reeb flows of closed contact 3-manifolds
Gonzalo Contreras, Marco Mazzucchelli
A Reeb vector field satisfies the Kupka-Smale condition when all its closed orbits are non-degenerate, and the stable and unstable manifolds of its hyperbolic closed orbits interse…
On spaces with nonnegative curvature outside a compact set
Mauricio Che, Jesús Núñez-Zimbrón
In this paper we adapt work of Z.-D. Liu to prove a ball covering property for non-branching spaces with nonnegative curvature outside a compact set. As a consequence…
Variations on the Tait-Kneser theorem
Gil Bor, Connor Jackman, Serge Tabachnikov
The Tait-Kneser theorem, first demonstrated by Peter G. Tait in 1896, states that the osculating circles along a plane curve with monotone non-vanishing curvature are pairwise disj…
Revisiting Kepler: new symmetries of an old problem
Gil Bor, Connor Jackman
The form a 3-parameter family of plane curves, consisting of all conics sharing a focus at a fixed point. We study the geometry and symmetry prop…