scientific article

zbMath0582.32026MaRDI QIDQ3705697

André Haefliger

Publication date: 1985

Full work available at URL: http://www.numdam.org/item?id=CM_1985__55_2_241_0

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zbMATH Keywords

Hopf manifoldversal deformationtransversely holomorphic foliationLie algebra of holomorphic vector fieldsholomorphic flowresonant vector fields

Mathematics Subject Classification ID

Foliations in differential topology; geometric theory (57R30) Deformations of complex structures (32G05) Deformations of special (e.g., CR) structures (32G07)

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Classification of holomorphic foliations on Hopf manifolds ⋮ Hopf manifolds and vector bundles on projective spaces ⋮ Non-invariant deformations of left-invariant complex structures on compact Lie groups ⋮ Real quadrics in \(\mathbb C^n\), complex manifolds and convex polytopes ⋮ On deformation of holomorphic foliations ⋮ Contractions, Fredholm operators and the cohomology of vector bundles on Hopf manifolds ⋮ The cohomology of line bundles on non-primary Hopf manifolds ⋮ Structures complexes sur les produit de fibrés en cercles au-dessus des variétés complexes ⋮ On Milnor’s fibration theorem and its offspring after 50 years ⋮ A new family of complex, compact, non-symplectic manifolds ⋮ Deformation of Sasakian metrics ⋮ On holomorphic vector bundles on Hopf manifolds with trivial pullback on the universal covering ⋮ The structure of vector bundles on non-primary Hopf manifolds ⋮ Holomorphic vector bundle on Hopf manifolds with Abelian fundamental groups ⋮ Compact complex manifolds: an extension of Meersseman's and López de Medrano-Verjovsky's construction ⋮ Cohomology of bundles on homological Hopf manifolds ⋮ Unnamed Item ⋮ Classification of holomorphic Pfaff systems on Hopf manifolds ⋮ Holomorphic flows and complex structures on products of odd dimensional spheres ⋮ From Singularities to Polyhedral Products ⋮ Filtrable bundles of rank 2 on Hopf surfaces

Cites Work

• Unnamed Item
• Unnamed Item
• Deformation theory for holomorphic foliations
• Holomorphic foliations and deformations of the Hopf foliation
• On deformations of complex analytic structures. III: Stability theorems for complex structures
• Finiteness theorem for families of vector fields in the neighborhood of a Poincaré-type singularity
• On deformations of transversely holomorphic foliations.
• Versal deformation of Hopf surfaces.

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