Liouvillian integration and Bernoulli foliations

DOI10.1090/S0002-9947-98-01780-2zbMath0914.32011MaRDI QIDQ4211091

Paulo Sad, Dominique Cerveau

Publication date: 10 September 1998

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

zbMATH Keywords

ordinary differential equationsRiccati equationLiouvillian integrationanalytic foliationsolvable holonomyaffine transverse structureBernoulli foliation

Mathematics Subject Classification ID

Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Singularities of holomorphic vector fields and foliations (32S65)

Related Items (2)

Representations of quasi-projective groups, flat connections and transversely projective foliations ⋮ Foliations on the projective plane with finite group of symmetries

Cites Work

• Unnamed Item
• Unnamed Item
• Construction of singular holomorphic vector fields and foliations in dimension two
• Sur les structures transversalement affines des feuilletages de codimension un
• Holomorphic foliations in \(CP(2)\) having an invariant algebraic curve
• Invariant varieties through singularities of holomorphic vector fields
• Foliations with algebraic limit sets
• Complex projective foliations having sub-exponential growth
• Free subgroups in linear groups
• Elementary First Integrals of Differential Equations
• Groupes d'automorphismes de $({\bbfC},0)$ et équations différentielles $ydy+\cdots =0$
• Holonomie et intégrales premières
• Liouvillian First Integrals of Differential Equations

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