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Milnor-Wood inequalities for manifolds locally isometric to a product of hyperbolic planes
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).
2008 (English)In: Comptes rendus. Mathematique, ISSN 1631-073X, E-ISSN 1778-3569, Vol. 346, no 11-12, 661-666 p.Article in journal (Refereed) Published
Abstract [en]

This Note describes sharp Milnor-Wood inequalities for the Euler number of flat oriented vector bundles over closed Riemannian manifolds locally isometric to products of hyperbolic planes. One consequence is that such manifolds do not admit an affine structure, confirming Chern-Sullivan's conjecture in this case. The manifolds under consideration are of particular interest, since in contrary to some other locally symmetric spaces they do admit interesting flat vector bundles in the corresponding dimension. When the manifold is irreducible and of higher rank, it is shown that flat oriented vector bundles are determined completely by the sign of the Euler number.

Place, publisher, year, edition, pages
2008. Vol. 346, no 11-12, 661-666 p.
Identifiers
URN: urn:nbn:se:kth:diva-17621DOI: 10.1016/j.crma.2008.04.014ISI: 000256913500015Scopus ID: 2-s2.0-44449085283OAI: oai:DiVA.org:kth-17621DiVA: diva2:335665
Note
QC 20100525Available from: 2010-08-05 Created: 2010-08-05 Last updated: 2017-12-12Bibliographically approved

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