On the real analytic Levi flat hypersurfaces in complex tori of dimension two

DOI10.5802/aif.1923zbMath1031.32030OpenAlexW2468935008MaRDI QIDQ1863985

Kazuko Matsumoto, Takeo Ohsawa

Publication date: 12 March 2003

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_2002__52_5_1525_0

zbMATH Keywords

complex torireal analytic Levi flat hypersurface

Mathematics Subject Classification ID

Real submanifolds in complex manifolds (32V40)

Related Items (5)

TAKEUCHI'S EQUALITY FOR THE LEVI FORM OF THE FUBINI-STUDY DISTANCE TO COMPLEX SUBMANIFOLDS IN COMPLEX PROJECTIVE SPACES ⋮ 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 displacement rigidity of Levi flat hypersurfaces -- the case of boundaries of disc bundles over compact Riemann surfaces ⋮ On the Levi-flats in complex tori of dimension two ⋮ A Survey on Levi Flat Hypersurfaces

Cites Work

• Levisches Problem und Rungescher Satz für Teilgebiete Steinscher Mannigfaltigkeiten
• A note on projective Levi flats and minimal sets of algebraic foliations
• Nonexistence of smooth Levi-flat hypersurfaces in complex projective spaces of dimension \(\geq 3\)
• Nonexistence of real analytic Levi flat hypersurfaces in ℙ²
• Unnamed Item

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