Fibrations and fundamental groups of Kaehler-Weyl manifolds

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.

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

References in corpus (3)

• On pseudo-harmonic maps in conformal geometry
• Fundamental classes not representable by products
• Locally conformally Kähler manifolds. A selection of results

Cited by in corpus (3)

• Contact pairs and locally conformally symplectic structures
• Kähler-Weyl manifolds of dimension 4
• Topology of locally conformally Kahler manifolds with potential