Skip Navigation


Journal of the London Mathematical Society Advance Access originally published online on February 19, 2009
Journal of the London Mathematical Society 2009 79(3):545-561; doi:10.1112/jlms/jdn089
This Article
Right arrow FREE Full Text (PDF) Freely available
Right arrow All Versions of this Article:
79/3/545    most recent
jdn089v1
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Services
Right arrow Email this article to a friend
Right arrow Similar articles in this journal
Right arrow Alert me to new issues of the journal
Right arrow Add to My Personal Archive
Right arrow Download to citation manager
Right arrowRequest Permissions
Google Scholar
Right arrow Articles by Kotschick, D.
Right arrow Articles by Löh, C.
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

© 2009 London Mathematical Society

Fundamental classes not representable by products

D. Kotschick

Mathematisches Institut
Ludwig-Maximilians-Universität München
Theresienstr. 39
80333 München
Germany

C. Löh

Mathematisches Institut
Westfälische Wilhelms-Universität Münster
Einsteinstr. 62
48149 Münster
Germany
clara.loeh@uni-muenster.de

We prove that rationally essential manifolds with suitably large fundamental groups do not admit any maps of non-zero degree from products of closed manifolds of positive dimension. Particular examples include all manifolds of non-positive sectional curvature of rank one and all irreducible locally symmetric spaces of non-compact type. For closed manifolds from certain classes, say non-positively curved ones, or certain surface bundles over surfaces, we show that they do admit maps of non-zero degree from non-trivial products if and only if they are virtually diffeomorphic to products.

2000 Mathematics Subject Classification 53C23 (primary), 20F34, 20F67, 57N65 (secondary).

Received July 8, 2008; published online February 19, 2009.


Add to CiteULike CiteULike   Add to Connotea Connotea   Add to Del.icio.us Del.icio.us    What's this?




Disclaimer: Please note that abstracts for content published before 1996 were created through digital scanning and may therefore not exactly replicate the text of the original print issues. All efforts have been made to ensure accuracy, but the Publisher will not be held responsible for any remaining inaccuracies. If you require any further clarification, please contact our Customer Services Department.