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

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

2007-11-12

arxiv.org/abs/0711.1737v3

Mathematics

Complex Variables

21 pages

Scientific paper

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
$\calc^{k,\alpha}$-classes.

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