On the normal bundle of Levi-flat real hypersurfaces

DOI10.1007/s00208-018-1723-7zbMath1432.32044arXiv1804.06884OpenAlexW3099329752MaRDI QIDQ2324855

Judith Brinkschulte

Publication date: 12 September 2019

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

Full work available at URL: https://arxiv.org/abs/1804.06884

zbMATH Keywords

normal bundleLevi-flat hypersurfaces

Mathematics Subject Classification ID

Real submanifolds in complex manifolds (32V40) CR manifolds as boundaries of domains (32V15)

Related Items (6)

On weighted Bergman spaces of a domain with Levi-flat boundary II. ⋮ Complex geometry and dynamical systems. Abstracts from the workshop held September 4--10, 2022 ⋮ Dynamical aspects of foliations with ample normal bundle ⋮ Nonexistence of Levi flat hypersurfaces with positive normal bundle in compact Kähler manifolds of dimension ≥3 ⋮ Diederich-Fornæss and Steinness indices for abstract CR manifolds ⋮ On holomorphic foliations admitting invariant CR manifolds

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Nonexistence of certain Levi flat hypersurfaces in Kähler manifolds from the viewpoint of positive normal bundles
• On projectively embeddable complex-foliated structures
• The \(\bar\partial\)-Cauchy problem and nonexistence of Lipschitz Levi-flat hypersurfaces in \(\mathbb{C}P^n\) with \(n \geq 3\)
• A note on projective Levi flats and minimal sets of algebraic foliations
• Nonexistence of smooth Levi-flat hypersurfaces in complex projective spaces of dimension \(\geq 3\)
• Szegő kernel asymptotics and Kodaira embedding theorems of Levi-flat CR manifolds
• Stein domains with Levi-plane boundaries on compact complex surfaces
• Minimal sets of foliations on complex projective spaces
• A Stein domain with smooth boundary which has a product structure
• The \(\bar \partial\)-problem with support conditions on some weakly pseudoconvex domains
• A local expression of the Diederich-Fornaess exponent and the exponent of conformal harmonic measures
• Regularity of the \(\overline \partial\) operator and Siu's theorem about the non-existence of Levi-flat hypersurfaces in the complex projective space \(\mathbb {CP}_n\), \(n\geqslant 3\)
• On the ampleness of positive CR line bundles over Levi-flat manifolds
• Bemerkenswerte pseudokonvexe Mannigfaltigkeiten
• Über Modifikationen und exzeptionelle analytische Mengen
• $L^{2}$ Serre duality on domains in complex manifolds and applications
• On the dynamics of codimension one holomorphic foliations with ample normal bundle
• Bounded p.s.h. functions and pseudoconvexity in Kähler manifold
• Käahler identity on Levi flat manifolds and application to the embedding
• Estimations $\mathrm{L}^2$ pour l'opérateur $\bar \partial$ d'un fibré vectoriel holomorphe semi-positif au-dessus d'une variété kählérienne complète
• L² Approaches in Several Complex Variables
• The Extension Problem in Complex Analysis II; Embeddings with Positive Normal Bundle
• The Neumann Problem for the Cauchy-Riemann Complex. (AM-75)
• Curvature restrictions for Levi-flat real hypersurfaces in complex projective planes

This page was built for publication: On the normal bundle of Levi-flat real hypersurfaces