34 research outputs found
Local properties of J-complex curves in Lipschitz-continuous structures
We prove the existence of primitive curves and positivity of intersections of
-complex curves for Lipschitz-continuous almost complex structures. These
results are deduced from the Comparison Theorem for -holomorphic maps in
Lipschitz structures, previously known for of class . We also
give the optimal regularity of curves in Lipschitz structures. It occurs to be
, i.e. the first derivatives of a -complex curve for Lipschitz
are Log-Lipschitz-continuous. A simple example that nothing better can be
achieved is given. Further we prove the Genus Formula for -complex curves
and determine their principal Puisieux exponents (all this for
Lipschitz-continuous -s).Comment: Minor corrections and improvements. One example added. To appear in
Math. Zeitschrift