2013/04/21 by Roger Casals, Francisco Presas, Casals, Roger +1
Computer Science · Mathematics · #53D10 #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Symplectic Geometry (math.SG) #Topological and Geometric Data Analysis #math.SG #msc:53D10
paper · pdf · doi:10.48550/arxiv.1304.5785
8 pages
openalex publication_date 2013/04/21 · arxiv created 2013/04/28 · arxiv updated 2013/04/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We prove the non--triviality of the Reeb flow for the (2n+1)--dimensional standard contact spheres inside the fundamental group of their contactomorphism group, n greater than 3. The argument uses the existence of homotopically non--trivial 2--spheres in the space of contact structures of a 3--Sasakian manifold.