Boundaries of Levi-flat hypersurfaces: special hyperbolic points

• Autorzy: Pierre Dolbeault
• Języki publikacji: EN

Abstrakty

EN

Let S ⊂ ℂⁿ, n ≥ 3, be a compact connected 2-codimensional submanifold having the following property: there exists a Levi-flat hypersurface whose boundary is S, possibly as a current. Our goal is to get examples of such S containing at least one special 1-hyperbolic point: a sphere with two horns, elementary models and their gluings. Some particular cases of S being a graph are also described.

Kategorie tematyczne

• 32V15: CR manifolds as boundaries of domains
• 32V25: Extension of functions and other analytic objects from CR manifolds
• 32V40: Real submanifolds in complex manifolds

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2012
• Tom: 106
• Numer: 1
• Strony: 145-170

Daty

wydano

2012

Twórcy

autor

Pierre Dolbeault

• Institut de Mathématiques de Jussieu, UPMC, 4, place Jussieu, 75005 Paris, France

Identyfikatory

DOI

10.4064/ap106-0-12