CR-structures on Seifert manifolds

DOI10.1007/BF01245069zbMath0728.32012MaRDI QIDQ804764

Yoshinobu Kamishima, Takashi Tsuboi

Publication date: 1991

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143877

zbMATH Keywords

Seifert manifoldnondegenerate CR-structurespherical CR-manifold

Mathematics Subject Classification ID

General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) CR structures, CR operators, and generalizations (32V05)

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Cites Work

• Links of surface singularities and CR space forms
• Local rigidity of discrete groups acting on complex hyperbolic space
• On contact manifolds
• 3-dimensional Lorentz space-forms and Seifert fiber spaces
• A global invariant for three-dimensional CR-manifolds
• Proper actions and pseudo-Riemannian space forms
• Real hypersurfaces in complex manifolds
• Contact manifolds in Riemannian geometry
• Monge-Ampère equations, the Bergman kernel, and geometry of pseudoconvex domains
• Structures de contact sur les fibrés principaux en cercles de dimension trois
• Kähler metrics associated to a real hypersurface
• Spherical hypersurfaces in complex manifolds
• Almost regular contact manifolds
• Pseudo-hermitian structures on a real hypersurface
• On the principle of uniformization
• On differential systems, graded Lie algebras and pseudo-groups
• Markoff forms and primitive words
• Seifert manifolds
• Conformal Automorphisms and Conformally Flat Manifolds
• SPHERICAL CR MANIFOLDS WITH AMENABLE HOLONOMY
• Conformally Flat Manifolds with Nilpotent Holonomy and the Uniformization Problem for 3-Manifolds
• Conformally Flat 3-Manifolds with Compact Automorphism Groups
• On the Existence of Contact Forms
• Classification of the Actions of the Circle on 3-Manifolds
• The deformation theory of representations of fundamental groups of compact Kähler manifolds
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