Levi foliations in pseudoconvex boundaries and vector fields that commute approximately with d-bar

2000/09/13 by Emil J. Sträube, Emil J. Straube, Straube, Emil J. +2
Mathematics · #Advanced Differential Equations and Dynamical Systems #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #math.AP #math.CV #msc:32W05

paper · pdf · doi:10.48550/arxiv.math/0009136

arxiv created 2000/09/13 · arxiv updated 2009/11/30

Abstract

Boas and Straube proved a general sufficient condition for global regularity of the d-bar Neumann problem in terms of families of vector fields that commute approximately with d-bar. In this paper, we study the existence of these vector fields on a compact subset of the boundary whose interior is foliated by complex manifolds. This question turns out to be closely related to properties of interest from the point of view of foliation theory.

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