Schwarz Reflection Principle, Boundary Regularity and Compactness for J-Complex Curves

2007/11/12 by S. Ivashkovich, Ivashkovich, S., A. Sukhov +1
Mathematics · #32Q65 #Complex Variables (math.CV) #FOS: Mathematics #Symplectic Geometry (math.SG) #math.CV #math.SG #msc:32Q65

paper · pdf · doi:10.48550/arxiv.0711.1737

21 pages

arxiv created 2009/06/29 · arxiv updated 2009/12/01

Abstract

We establish the Schwarz Reflection Principle for J-complex discs attached to a real analytic J-totally real submanifold of an almost complex manifold with real analytic J. We also prove the precise boundary regularity and derive the precise convergence in Gromov compactness theorem in \calc^k,α-classes.

Related

• Estimates for J-curves as submanifolds
• Classical Schwarz Reflection Principle for Jenkins-Serrin Type Minimal Surfaces
• Gromov Compactness in Hoelder Spaces and Minimal Connections on Jet Bundles
• Regularization of almost complex structures and and gluing holomorphic discs to tori
• Gromov-Uhlenbeck Compactness