Stability of the Monge-Ampère foliation

DOI10.1007/BF01457080zbMath0512.32013MaRDI QIDQ1839340

Giorgio Patrizio, Pit-Mann Wong

Publication date: 1983

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/163728

zbMATH Keywords

stable foliationlevel setscircular domainspseudo-hermitian structureleaf space of Monge-Ampere foliation

Mathematics Subject Classification ID

Holomorphic mappings and correspondences (32H99) Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Foliations in differential topology; geometric theory (57R30) Differentiable mappings in differential topology (57R35) Plurisubharmonic functions and generalizations (32U05)

Related Items (9)

Isometries of intrinsic metrics on strictly convex domains ⋮ Monge-Ampère foliations for degenerate solutions ⋮ Finite type Monge–Ampère foliations ⋮ Unnamed Item ⋮ Pluripotential Theory and Monge–Ampère Foliations ⋮ Monge-Ampère equations and moduli spaces of manifolds of circular type ⋮ Stein manifolds with compact symmetric center ⋮ Parabolic exhaustions for strictly convex domains ⋮ A characterization of complex manifolds biholomorphic to a circular domain

Cites Work

• Function theory on manifolds which possess a pole
• Geometry of the complex homogeneous Monge-Ampère equation
• Compact Kähler manifolds of positive bisectional curvature
• Curvature characterization of hyperquadrics
• Real hypersurfaces in complex manifolds
• Pseudo-hermitian structures on a real hypersurface
• On the automorphisms of circular and Reinhardt domains in complex Banach spaces
• Deformation of complex structures, estimates for the (partial d) equation, and stability of the Bergman kernel
• Curvatures of Monge-Ampère foliations and parabolic manifolds
• Holomorphic bisectional curvature
• Morse Theory. (AM-51)
• Variational Properties of the Complex Monge-Ampere Equation. II. Intrinsic Norms
• Negative Vector Bundles and Complex Finsler Structures
• Foliations and complex monge-ampère equations
• Foliations with all leaves compact
• Unnamed Item
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