On complex compact parallelizable manifolds admitting affine structures

DOI10.1016/j.crma.2009.09.008zbMath1181.53063OpenAlexW2058986254MaRDI QIDQ1032850

Sorin Dumitrescu

Publication date: 5 November 2009

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2009.09.008

zbMATH Keywords

affine connectionflat connectiontorsion free connectionparallelisable holomorphic manifold

Mathematics Subject Classification ID

Other complex differential geometry (53C56) Connections (general theory) (53C05) Complex spaces (32C15)

Related Items (1)

Holomorphic affine connections on non-Kähler manifolds

Cites Work

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• Higgs bundles and local systems
• Holomorphic projective structures on compact complex surfaces
• On Uniformization of Complex Manifolds: The Role of Connections. (MN-22)
• Vector bundles with holomorphic connection over a projective manifold with tangent bundle of nonnegative degree
• Complex analytic geometry of complex parallelizable manifolds
• Déformations des structures complexes sur les espaces homogènes de SL (2, ).
• Complex Parallisable Manifolds

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