2008/08/04 by Viktor Fromm, Fromm, Viktor
Mathematics · #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry and complex manifolds #math.DG #math.SG #msc:53D30
paper · pdf · doi:10.48550/arxiv.0808.0415
21 pages
arxiv created 2008/08/05 · arxiv updated 2009/12/01
The goal of this work is to establish a proof of the Gromov convergence in Hoelder spaces for curves with a totally real boundary condition following the original geometric idea of Gromov. We use a local reflection principle in neighbourhoods of the totally real submanifold as developed by Ivashkovich and Shevchishin and existence results for special connections on spaces of jet bundles to obtain higher regularity and Gromov-Schwarz estimates along the boundary.