Geometry and function algebra on pseudo-flat manifolds
A. Milani, C. Rea (1972)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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A. Milani, C. Rea (1972)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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D. E. Barrett, John Erik Fornaess (1988)
Publicacions Matemàtiques
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We study the regularity of the induced foliation of a Levi-flat hypersurface in C, showing that the foliation is as many times continuously differentiable as the hypersurface itself. The key step in the proof given here is the construction of a certain family of approximate plurisubharmonic defining functions for the hypersurface in question.
John Cantwell, Lawrence Conlon (1988)
Annales de l'institut Fourier
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Compact, -foliated manifolds of codimension one, having all leaves proper, are shown to be -smoothable. More precisely, such a foliated manifold is homeomorphic to one of class . The corresponding statement is false for foliations with nonproper leaves. In that case, there are topological distinctions between smoothness of class and of class for every nonnegative integer .
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Mathematische Zeitschrift
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Algebraic & Geometric Topology
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C. Rea (1972)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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