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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

   

 

Fibrations and fundamental groups of Kähler-Weyl manifolds


Authors: G. Kokarev and D. Kotschick
Journal: Proc. Amer. Math. Soc. 138 (2010), 997-1010
MSC (2000): Primary 32J27, 32Q55, 53C55; Secondary 53C28, 53C43, 58C10
Published electronically: October 21, 2009
MathSciNet review: 2566566
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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.


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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
Email: dieter@member.ams.org

DOI: http://dx.doi.org/10.1090/S0002-9939-09-10110-7
PII: S 0002-9939(09)10110-7
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
Article copyright: © Copyright 2008 G. Kokarev and D. Kotschick