Fibrations and fundamental groups of Kaehler-Weyl manifolds
Differential Geometry
2009-12-08 v2 Complex Variables
Geometric Topology
Abstract
We extend the Siu--Beauville theorem to a certain class of compact Kaehler--Weyl manifolds, proving that they fiber holomorphically over hyperbolic Riemannian surfaces whenever they satisfy the necessary topological hypotheses. As applications we obtain restrictions on the fundamental groups of such Kaehler--Weyl manifolds, and show that in certain cases they are in fact Kaehler.
Keywords
Cite
@article{arxiv.0811.1952,
title = {Fibrations and fundamental groups of Kaehler-Weyl manifolds},
author = {G. Kokarev and D. Kotschick},
journal= {arXiv preprint arXiv:0811.1952},
year = {2009}
}
Comments
minor changes and addition of a postscript, now 13 pages; to appear in Proc. Amer. Math. Soc