Diederich-Fornæss and Steinness indices for abstract CR manifolds

DOI10.1007/s12220-020-00598-6zbMath1481.32016arXiv2003.01330OpenAlexW3010327840MaRDI QIDQ2050630

Jihun Yum, Masanori Adachi

Publication date: 31 August 2021

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

Full work available at URL: https://arxiv.org/abs/2003.01330

zbMATH Keywords

pseudoconvexityplurisubharmonic functionD'Angelo 1-formDiederich-Fornaess indexSteinness index

Mathematics Subject Classification ID

CR manifolds as boundaries of domains (32V15) Geometric and analytic invariants on weakly pseudoconvex boundaries (32T27) Plurisubharmonic exhaustion functions (32U10)

Related Items

On weighted Bergman spaces of a domain with Levi-flat boundary II. ⋮ Worm domains are not Gromov hyperbolic ⋮ The core of the Levi distribution

Cites Work

• Unnamed Item
• Unnamed Item
• De Rham cohomology of manifolds containing the points of infinite type, and Sobolev estimates for the \(\bar \partial\)-Neumann problem
• On Levi's problem and the imbedding of real-analytic manifolds
• Pseudoconvex domains: bounded strictly plurisubharmonic exhaustion functions
• Finite type conditions for real hypersurfaces
• Bounded plurisubharmonic exhaustion functions and Levi-flat hypersurfaces
• Codimension one foliations on complex tori
• Lectures on the \(L^2\)-Sobolev theory of the \(\bar\partial\)-Neumann problem
• The Diederich-Fornæss index. I: For domains of non-trivial index
• On the normal bundle of Levi-flat real hypersurfaces
• A local expression of the Diederich-Fornaess exponent and the exponent of conformal harmonic measures
• Bergman kernel and hyperconvexity index
• On the Steinness index
• The strong Oka's lemma, bounded plurisubharmonic functions and the \(\overline\partial\)-Neumann problem
• On the displacement rigidity of Levi flat hypersurfaces -- the case of boundaries of disc bundles over compact Riemann surfaces
• Über Modifikationen und exzeptionelle analytische Mengen
• CR-invariance of the Steinness index
• A CR Proof for a Global Estimate of the Diederich–Fornaess Index of Levi-Flat Real Hypersurfaces
• Bounded p.s.h. functions and pseudoconvexity in Kähler manifold
• Curvature restrictions for Levi-flat real hypersurfaces in complex projective planes

This page was built for publication: Diederich-Fornæss and Steinness indices for abstract CR manifolds