Stability of complex foliations transverse to fibrations

DOI10.1090/S0002-9939-2011-11136-5zbMath1301.57024MaRDI QIDQ2845733

Fabio Henrique Andrade Santos, Bruno C. Azevedo Scárdua

Publication date: 3 September 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

foliationsuspensionSeifert fibrationglobal holonomy

Mathematics Subject Classification ID

Complex Lie groups, group actions on complex spaces (32M05) Foliations in differential topology; geometric theory (57R30) Classifying spaces for foliations; Gelfand-Fuks cohomology (57R32) Dynamical aspects of holomorphic foliations and vector fields (37F75)

Related Items (2)

On the existence of stable compact leaves for transversely holomorphic foliations ⋮ A measurable stability theorem for holomorphic foliations transverse to fibrations

Cites Work

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• A generalization of the Reeb stability theorem
• On stability of compact leaves and fibrations
• On complex codimension-one foliations transverse fibrations
• Holomorphic foliations transverse to fibrations on hyperbolic manifolds

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