Geometry of the complex homogeneous Monge-Ampère equation

DOI10.1007/BF01393818zbMath0555.32009OpenAlexW2004292557MaRDI QIDQ760547

Pit-Mann Wong

Publication date: 1982

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/142912

zbMATH Keywords

foliationhermitian metriccomplex homogeneous Monge-Ampère equationconnected complex manifoldpartial connection on the normal bundle

Mathematics Subject Classification ID

Invariant metrics and pseudodistances in several complex variables (32F45) Nonlinear higher-order PDEs (35G20) Foliations (differential geometric aspects) (53C12) Differential complexes (58J10) Geometric theory, characteristics, transformations in context of PDEs (35A30) Foliations in differential topology; geometric theory (57R30) Complex manifolds (32Q99)

Related Items (13)

Isometries of intrinsic metrics on strictly convex domains ⋮ The asymptotic expansion of a CR invariant and Grauert tubes ⋮ A note on the space of Kähler metrics ⋮ Immortal solution of the Ricci flow ⋮ Global solutions of the homogeneous complex Monge-Ampère equation and complex structures on the tangent bundle of Riemannian manifolds ⋮ Characterization of strictly convex domains biholomorphic to a circular domain ⋮ Pluripotential Theory and Monge–Ampère Foliations ⋮ Monge-Ampère equations and moduli spaces of manifolds of circular type ⋮ Stability of the Monge-Ampère foliation ⋮ Stein manifolds with compact symmetric center ⋮ Parabolic exhaustions for strictly convex domains ⋮ Parabolic exhaustions and analytic coverings ⋮ A characterization of complex manifolds biholomorphic to a circular domain

Cites Work

• Function theory on manifolds which possess a pole
• Complete Kähler manifolds with nonpositive curvature of faster than quadratic decay
• Pseudo-hermitian structures on a real hypersurface
• Curvatures of Monge-Ampère foliations and parabolic manifolds
• Lectures on algebraic and differential topology
• Zero sets of non-negative strictly plurisubharmonic functions
• Morse Theory. (AM-51)
• Foliations and complex monge-ampère equations
• On the ricci curvature of a compact kähler manifold and the complex monge-ampére equation, I
• 𝐺-foliations and their characteristic classes
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