Fibrations and fundamental groups of Kaehler-Weyl manifolds

Details Fibrations and fundamental groups of Kaehler-Weyl manifolds Fibrations and fundamental groups of Kaehler-Weyl manifolds

2008-11-12

arxiv.org/abs/0811.1952v2

Proc. Amer. Math. Soc 138 (2010), 997--1010

Mathematics

Differential Geometry

minor changes and addition of a postscript, now 13 pages; to appear in Proc. Amer. Math. Soc

Scientific paper

10.1090/S0002-9939-09-10110-7

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.

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