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arXiv:0710.2310 [math.DG]AbstractReferencesReviewsResources

Integrability of Rough Almost Complex Structures

C. Denson Hill, Michael Taylor

Published 2007-10-11, updated 2007-11-08Version 2

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.

Journal: J. Geometric Analysis 13 (2003), 163-172
Categories: math.DG, math.AP, math.CV
Subjects: 35N10
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