Global convexity properties of some families of three-dimensional compact Levi-flat hypersurfaces

Barrett, David E.

doi:10.1090/S0002-9947-1992-1055805-3

Global convexity properties of some families of three-dimensional compact Levi-flat hypersurfaces
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Trans. Amer. Math. Soc. 332 (1992), 459-474 Request permission

Abstract:

We consider various examples of compact Levi-flat hypersurfaces in two-dimensional complex manifolds, exploring the interplay between geometric properties of the induced foliation, behavior of the tangential Cauchy-Riemann equations along the hypersurface, and pseudoconvexity properties of small neighborhoods of the hypersurface.

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