Skip to Main Content

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Fibrations and fundamental groups of Kähler–Weyl manifolds
HTML articles powered by AMS MathViewer

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
Similar Articles
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