Une caract\'erisation des vari\'et\'es complexes compactes parall\'elisables admettant des structures affines
Differential Geometry
2009-01-29 v1 Complex Variables
Abstract
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.
Cite
@article{arxiv.0901.4481,
title = {Une caract\'erisation des vari\'et\'es complexes compactes parall\'elisables admettant des structures affines},
author = {Sorin Dumitrescu},
journal= {arXiv preprint arXiv:0901.4481},
year = {2009}
}
Comments
6 pages, french