2011/10/31 by Sheila Sandon · 22 citations
Mathematics · #Algebraic geometry #Conjecture #Differential geometry #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Hyperbolic geometry #Manifold (fluid mechanics) #Morse code #Orbit (dynamics) #Point processes and geometric inequalities #Projective geometry #SPHERES #math.GT #math.SG #msc:53D10
paper · pdf · doi:10.1007/s10711-012-9741-1
published in Geometriae Dedicata 165(1), 95-110 (Springer Science+Business Media) · 14 pages; revised version, to appear in Geom. Dedicata
openalex publication_date 2012/05/31 · arxiv created 2012/06/18 · arxiv updated 2012/06/19 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
A point q in a contact manifold is called a translated point for a contactomorphism ϕ, with respect to some fixed contact form, if ϕ(q) and q belong to the same Reeb orbit and the contact form is preserved at q. In this article we discuss a version of the Arnold conjecture for translated points of contactomorphisms and, using generating functions techniques, we prove it in the case of spheres (under a genericity assumption) and projective spaces.