Fibrations and fundamental groups of Kähler–Weyl manifolds
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- by G. Kokarev and D. Kotschick PDF
- Proc. Amer. Math. Soc. 138 (2010), 997-1010
Abstract:
We extend the Siu–Beauville theorem to a certain class of compact Kähler–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 Kähler–Weyl manifolds, and we show that in certain cases they are in fact Kähler.References
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Additional Information
- G. Kokarev
- Affiliation: School of Mathematics, The University of Edinburgh, King’s Buildings, Mayfield Road, Edinburgh EH9 3JZ, United Kingdom
- Address at time of publication: Mathematisches Institut, Ludwig-Maximilians-Universität München, Theresienstr. 39, 80333 München, Germany
- Email: G.Kokarev@ed.ac.uk, Gerasim.Kokarev@mathematik.uni-muenchen.de
- D. Kotschick
- Affiliation: Mathematisches Institut, Ludwig-Maximilians-Universität München, Theresienstr. 39, 80333 München, Germany
- MR Author ID: 267229
- Email: dieter@member.ams.org
- Received by editor(s): November 12, 2008
- Received by editor(s) in revised form: July 9, 2009
- Published electronically: October 21, 2009
- Communicated by: Jon G. Wolfson
- © Copyright 2008 G. Kokarev and D. Kotschick
- Journal: Proc. Amer. Math. Soc. 138 (2010), 997-1010
- MSC (2000): Primary 32J27, 32Q55, 53C55; Secondary 53C28, 53C43, 58C10
- DOI: https://doi.org/10.1090/S0002-9939-09-10110-7
- MathSciNet review: 2566566