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

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.

21 pages

Cited by in corpus (1)

• Boundary Values and Boundary Uniqueness of $J$-Holomorphic Mapping