Some aspects of analysis on almost complex manifolds with boundary

2007/01/20 by Bernard Coupet, Hervé Gaussier, Coupet, Bernard +3
Mathematics · #Holomorphic and Operator Theory #Geometric Analysis and Curvature Flows #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.math/0701576

Abstract

We present some results dealing with the local geometry of almost complex manifolds. We establish mainly the complete hyperbolicity of strictly pseudoconvex domains, the extension of plurisubharmonic functions through generic submanifolds and the elliptic regularity of some diffeomorphisms in almost complex manifolds with boundary.

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