2014/01/31 by Hansjörg Geiges, Kai Zehmisch · 1 citation
Mathematics · #math.SG #math.DS #math.GT #msc:53D35 #msc:37C27 #msc:37J55 #msc:57R17
paper · pdf · doi:10.2422/2036-2145.201404_006
published as Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 15 (2016), 663-681 · 15 pages. The proof of the energy estimate in v1 (Lemma 4) is incomplete. In v2 we circumvent this by working with a model involving Lagrangian boundary conditions instead of totally real ones. Parts of the holomorphic analysis in v1 for the case of totally real boundary conditions may be of independent interest
arxiv created 2014/04/06 · arxiv updated 2019/03/11
We give a dynamical characterisation of odd-dimensional balls within the class of all contact manifolds whose boundary is a standard even-dimensional sphere. The characterisation is in terms of the non-existence of short periodic Reeb orbits.