The proportionality constant for the simplicial volume of locally symmetric spaces

• Autorzy: Michelle Bucher-Karlsson
• Języki publikacji: EN

Abstrakty

EN

We follow ideas going back to Gromov's seminal article [Publ. Math. IHES 56 (1982)] to show that the proportionality constant relating the simplicial volume and the volume of a closed, oriented, locally symmetric space M = Γ∖G/K of noncompact type is equal to the Gromov norm of the volume form in the continuous cohomology of G. The proportionality constant thus becomes easier to compute. Furthermore, this method also gives a simple proof of the proportionality principle for arbitrary manifolds.

Kategorie tematyczne

• 53C35: Symmetric spaces
• 22E41: Continuous cohomology

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2008
• Tom: 111
• Numer: 2
• Strony: 183-198

Daty

wydano

2008

Twórcy

autor

Michelle Bucher-Karlsson

• Math. Dept. KTH, SE-100 44 Stockholm, Sweden

Identyfikatory

DOI

10.4064/cm111-2-2