The \({\overline{\partial}}\) operator along the leaves and Guichard's theorem for a complex simple foliation
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Publication:976778
DOI10.1007/s00208-009-0459-9zbMath1209.32021OpenAlexW2461991598MaRDI QIDQ976778
Publication date: 16 June 2010
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00208-009-0459-9
(overlinepartial) and (overlinepartial)-Neumann operators (32W05) Deformations of complex structures (32G05) Vector distributions (subbundles of the tangent bundles) (58A30)
Related Items
On the cohomological equation of a linear contraction ⋮ On leafwise meromorphic functions with prescribed poles ⋮ \(\overline{\partial}\)-tangential invariants of certain vector bundles over complex foliations ⋮ Transversally pseudoconvex semiholomorphic foliations ⋮ Leafwise Dolbeault cohomology of certain complex foliations ⋮ $1$-complete semiholomorphic foliations
Cites Work
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- Riemann's mapping theorem for variable metrics
- Leafwise Dolbeault cohomology of certain complex foliations
- Sums of an entire function in certain weighted \(L^2\)-spaces
- On the parameter dependence of solutions to the \(\bar\partial\)-equation
- A smooth foliation of the 5-sphere by complex surfaces
- Cohomological equations of Riemannian flows and the Anosov diffeomorphism
- On Sobolev infinitesimal rigidity of linear hyperbolic actions on the 2-torus
- Foliated manifolds with bundle-like metrics
- Foliations with complex leaves
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