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arxiv: 0901.4481 · v1 · submitted 2009-01-28 · 🧮 math.DG · math.CV

Une caract\'erisation des vari\'et\'es complexes compactes parall\'elisables admettant des structures affines

classification 🧮 math.DG math.CV
keywords affineconnectionsholomorphiccompactcomplexflatfreemanifolds
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We classify complex compact parallelizable manifolds which admit flat torsion free holomorphic affine connections. We exhibit complex compact manifolds admitting holomorphic affine connections, but no flat torsion free holomorphic affine connections.

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