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

Authors:
Emil J. Straube and Marcel K. Sucheston

Journal:
Trans. Amer. Math. Soc. **355** (2003), 143-154

MSC (2000):
Primary 32W05, 32T99; Secondary 53C12

Published electronically:
September 6, 2002

MathSciNet review:
1928081

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Abstract: Boas and Straube proved a general sufficient condition for global regularity of the -Neumann problem in terms of families of vector fields that commute approximately with . 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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Additional Information

**Emil J. Straube**

Affiliation:
Department of Mathematics, Texas A&M University, College Station, Texas 77843-3368

Email:
straube@math.tamu.edu

**Marcel K. Sucheston**

Affiliation:
Department of Mathematics, Texas A&M University, College Station, Texas 77843-3368

DOI:
https://doi.org/10.1090/S0002-9947-02-03133-1

Received by editor(s):
September 15, 2000

Published electronically:
September 6, 2002

Additional Notes:
Research supported in part by NSF grant DMS-9801539

Marcel K. Sucheston died tragically on April 24, 2000. The surviving author dedicates this paper to his memory

Article copyright:
© Copyright 2002
American Mathematical Society