pith. sign in

arxiv: 0811.1952 · v2 · submitted 2008-11-12 · 🧮 math.DG · math.CV· math.GT

Fibrations and fundamental groups of Kaehler-Weyl manifolds

classification 🧮 math.DG math.CVmath.GT
keywords manifoldstheycertainfundamentalgroupskaehler--weylapplicationscases
0
0 comments X
read the original 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.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.