A note on the geometry of pseudoconvex domains of finite type in almost complex manifolds

DOI10.1090/S0002-9939-2011-11016-5zbMath1244.32015arXiv1008.2969MaRDI QIDQ5390215

Florian Bertrand

Publication date: 27 April 2012

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1008.2969

zbMATH Keywords

almost complex structureD'Angelo typeKobayashi pseudometric

Mathematics Subject Classification ID

Finite-type domains (32T25) Hyperbolic and Kobayashi hyperbolic manifolds (32Q45) Almost complex manifolds (32Q60) Pseudoholomorphic curves (32Q65) Peak functions (32T40)

Cites Work

• Pseudoconvex regions of finite D'Angelo type in four dimensional almost complex manifolds
• Estimates of invariant metrics on pseudoconvex domains of dimension two
• Finite type conditions for real hypersurfaces
• Bloch principle and estimates of the Kobayashi metric of domains in \(\mathbb{C}^2\)
• Schwarz-type lemmas for solutions of \(\bar\partial \)-inequalities and complete hyperbolicity of almost complex manifolds.
• Some integration problems in almost-complex and complex manifolds
• Boundary Behavior of the Caratheodory and Kobayashi Metrics on Strongly Pseudoconvex Domains in C n with Smooth Boundary
• Estimates of the Kobayashi-Royden metric in almost complex manifolds

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