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Fibrations and fundamental groups of Kähler-Weyl manifolds
Author(s):
G.
Kokarev;
D.
Kotschick
Journal:
Proc. Amer. Math. Soc.
MSC (2000):
Primary 32J27, 32Q55, 53C55;
Secondary 53C28, 53C43, 58C10
Posted:
October 21, 2009
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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:
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
Posted:
October 21, 2009
Communicated by:
Jon G. Wolfson
Copyright of article:
Copyright
2008,
G. Kokarev and D. Kotschick
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