On the topology of compact smooth three-dimensional Levi-flat hypersurfaces

DOI10.1007/BF02921574zbMath0762.32014OpenAlexW1972636822MaRDI QIDQ1203500

David E. Barrett, Takashi Inaba

Publication date: 10 February 1993

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02921574

zbMATH Keywords

basin of attractionholonomyLevi-flat hypersurfaceLevi-foliation

Mathematics Subject Classification ID

Compact complex (3)-folds (32J17) Foliations (differential geometric aspects) (53C12) Value distribution theory in higher dimensions (32H30)

Related Items

On real submanifolds of Kähler manifolds foliated by complex submanifolds ⋮ Local criteria for non-embeddability of Levi-flat manifolds ⋮ Foliations on the open 3-ball by complete surfaces ⋮ Almost \(K3\) surface contains infinitely many linear Levi-flat hypersurfaces ⋮ Liouville-type theorems for foliations with complex leaves

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Structures feuilletées et cohomologie à valeur dans un faisceau de groupoïdes
• On the neighborhood of a compact complex curve with topologically trivial normal bundle
• Complex analytic realization of Reeb's foliation of S(sup 3)
• On 2-cycles of B Diff(\(S^1\)) which are represented by foliated \(S^1\)- bundles over \(T^2\)
• Some remarks on stability of foliations
• Open manifolds foliated by planes
• Essential laminations in 3-manifolds
• On deformations of complex analytic structures. I
• Holomorphic Maps from C n to C n
• Global Convexity Properties of Some Families of Three-Dimensional Compact Levi-Flat Hypersurfaces

This page was built for publication: On the topology of compact smooth three-dimensional Levi-flat hypersurfaces