Rational parallelism on complex manifolds
Differential Geometry
2019-12-23 v2 Complex Variables
Abstract
A Theorem of Wang in [Wa] implies that any holomorphic parallelism on a compact complex manifold M is flat with respect to some complex Lie algebra structure whose dimension coincides with that of M. We study here rational parallelisms on complex manifolds. We exhibit rational parallelisms on compact complex manifolds which are not flat with respect to any complex Lie algebra structure.
Cite
@article{arxiv.1910.02774,
title = {Rational parallelism on complex manifolds},
author = {Indranil Biswas and Sorin Dumitrescu},
journal= {arXiv preprint arXiv:1910.02774},
year = {2019}
}
Comments
Final version; to appear in the European Journal of Mathematics