Integrability of Rough Almost Complex Structures

Details Integrability of Rough Almost Complex Structures Integrability of Rough Almost Complex Structures

2007-10-11

arxiv.org/abs/0710.2310v2

J. Geometric Analysis 13 (2003), 163-172

Mathematics

Differential Geometry

Scientific paper

We extend the Newlander-Nirenberg theorem to manifolds with almost complex
structures that have somewhat less than Lipschitz regularity. We also discuss
the regularity of local holomorphic coordinates in the integrable case, with
particular attention to Lipschitz almost complex structures.

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