Homog\'en\'eit\'e locale pour les m\'etriques riemanniennes holomorphes en dimension 3
Differential Geometry
2007-05-23 v2 Complex Variables
Abstract
We show that holomorphic riemannian metrics on compact complex threefolds are locally homogeneous (the pseudogroup of local isometries acts transitively on the manifold).
Keywords
Cite
@article{arxiv.math/0605440,
title = {Homog\'en\'eit\'e locale pour les m\'etriques riemanniennes holomorphes en dimension 3},
author = {Sorin Dumitrescu},
journal= {arXiv preprint arXiv:math/0605440},
year = {2007}
}
Comments
30 pages. Revised version (minor changes). To appear