2017/02/23 by Selman Akbulut, Akbulut, Selman, M. Firat Arikan +1
Mathematics · #57R65 #58A05 #58D27 #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals #Symplectic Geometry (math.SG)
paper · pdf · doi:10.48550/arxiv.1702.07415
openalex publication_date 2017/02/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
We study Legendrian embeddings of a compact Legendrian submanifold L sitting in a closed contact manifold (M,ξ) whose contact structure is supported by a (contact) open book OB on M. We prove that if OB has Weinstein pages, then there exist a contact structure ξ' on M, isotopic to ξ and supported by OB, and a contactomorphism f:(M,ξ) → (M,ξ') such that the image f(L) of any such submanifold can be Legendrian isotoped so that it becomes disjoint from the closure of a page of OB.