منابع مشابه
Levi-flat Hypersurfaces with Real Analytic Boundary
Let X be a Stein manifold of dimension at least 3. Given a compact codimension 2 real analytic submanifold M of X, that is the boundary of a compact Levi-flat hypersurface H, we study the regularity of H. Suppose that the CR singularities of M are an O(X)-convex set. For example, suppose M has only finitely many CR singularities, which is a generic condition. Then H must in fact be a real analy...
متن کاملThe Levi Problem in C: a Survey
We discuss domains of holomorphy and several notions of pseudoconvexity (drawing parallels with the corresponding concepts from geometric convexity), and present a mostly selfcontained solution to the Levi problem. We restrict our attention to domains of C. Full text
متن کامل6 Extension of Levi - Flat Hypersurfaces past Cr Boundaries
Local conditions on boundaries of C ∞ Levi-flat hypersurfaces, in case the boundary is a generic submanifold, are studied. For nontrivial real analytic boundaries we get an extension and uniqueness result, which forces the hypersurface to be real analytic. This allows us to classify all real analytic generic boundaries of Levi-flat hypersurfaces in terms of their normal coordinates. For the rem...
متن کامل20 07 Extension of Levi - Flat Hypersurfaces past Cr Boundaries
Local conditions on boundaries of C ∞ Levi-flat hypersurfaces, in case the boundary is a generic submanifold, are studied. For nontrivial real analytic boundaries we get an extension and uniqueness result, which forces the hypersurface to be real analytic. This allows us to classify all real analytic generic boundaries of Levi-flat hypersurfaces in terms of their normal coordinates. For the rem...
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ژورنال
عنوان ژورنال: Ufa Mathematical Journal
سال: 2017
ISSN: 2074-1863,2074-1871
DOI: 10.13108/2017-9-3-172