The Diederich-Fornæss exponent and non-existence of Stein domains with Levi-flat boundaries

DOI10.1007/s12220-014-9546-6zbMath1341.32026arXiv1401.1834OpenAlexW2592326649MaRDI QIDQ254254

Siqi Fu, Mei-Chi Shaw

Publication date: 8 March 2016

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

Full work available at URL: https://arxiv.org/abs/1401.1834

zbMATH Keywords

Stein manifoldDiederich-Fornaess exponentLevi-flat hypersurfaceOka property

Mathematics Subject Classification ID

Real submanifolds in complex manifolds (32V40) Exhaustion functions (32T35)

Related Items

Bergman kernel and hyperconvexity index ⋮ A CR Proof for a Global Estimate of the Diederich–Fornaess Index of Levi-Flat Real Hypersurfaces ⋮ Log-hyperconvexity index and Bergman kernel ⋮ The intrinsic geometry on bounded pseudoconvex domains ⋮ TAKEUCHI'S EQUALITY FOR THE LEVI FORM OF THE FUBINI-STUDY DISTANCE TO COMPLEX SUBMANIFOLDS IN COMPLEX PROJECTIVE SPACES ⋮ Weakly 1‐completeness of holomorphic fiber bundles over compact Kähler manifolds ⋮ The core of the Levi distribution ⋮ Estimates for \(\overline{\partial}\) on domains in \(\mathbb{C}^n\) and \(\mathbb{CP}^n\) ⋮ The Diederich-Fornæss index. II: For domains of trivial index ⋮ Geometric Analysis on the Diederich-Forn{\ae}ss Index ⋮ Bounded plurisubharmonic exhaustion functions and Levi-flat hypersurfaces ⋮ Curvature restrictions for Levi-flat real hypersurfaces in complex projective planes ⋮ On weighted Bergman spaces of a domain with Levi-flat boundary ⋮ The Diederich-Fornæss index. I: For domains of non-trivial index

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