Connexions affines et projectives sur les surfaces complexes compactes
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Publication:846894
DOI10.1007/s00209-008-0465-8zbMath1189.53015arXiv0805.2816OpenAlexW2064284822MaRDI QIDQ846894
Publication date: 15 February 2010
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0805.2816
connected complex surfaceelliptic principal fibre bundle over a surfaceholomorphic torsionless affine connectiontranslation invariant affine connection
Connections (general theory) (53C05) Linear and affine connections (53B05) Projective connections (53B10)
Related Items
Holomorphic G-Structures and Foliated Cartan Geometries on Compact Complex Manifolds, An Invitation to Quasihomogeneous Rigid Geometric Structures, Holomorphic projective connections on compact complex threefolds, On Kähler metrisability of two-dimensional complex projective structures, Affine connections on complex compact surfaces and Riccati distributions, Fujiki class 𝒞 and holomorphic geometric structures
Cites Work
- Vector fields of a finite type G-structure
- Geometric structures on compact complex analytic surfaces
- Compact quotient spaces of \(C^2\) by affine transformation groups
- Structures affines et projectives sur les surfaces complexes. (Affine and projective structures on complex surfaces)
- Geometric structures on curves and complex surfaces
- Holomorphic structures modeled after hyperquadrics
- On surfaces of class VII\(_0\)
- Threefolds with holomorphic normal projective connections
- Affine structures on compact complex manifolds
- Structures géométriques holomorphes sur les variétés complexes compactes
- Characteristic forms of complex Cartan geometries
- Characteristic Classes. (AM-76)
- Uniruled projective manifolds with irreducible reductive G-structures.
- The Schwarzian derivative for maps between manifolds with complex projective connections
- A non-metric rigidity theorem for locally symmetric Hermitian manifolds
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