The proportionality constant for the simplicial volume of locally symmetric spaces

Michelle Bucher-Karlsson. "The proportionality constant for the simplicial volume of locally symmetric spaces." Colloquium Mathematicae 111.2 (2008): 183-198. <http://eudml.org/doc/283490>.

@article{MichelleBucher2008,
abstract = {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.},
author = {Michelle Bucher-Karlsson},
journal = {Colloquium Mathematicae},
keywords = {locally symmetric space; simplicial volume; bounded cohomology},
language = {eng},
number = {2},
pages = {183-198},
title = {The proportionality constant for the simplicial volume of locally symmetric spaces},
url = {http://eudml.org/doc/283490},
volume = {111},
year = {2008},
}

TY - JOUR
AU - Michelle Bucher-Karlsson
TI - The proportionality constant for the simplicial volume of locally symmetric spaces
JO - Colloquium Mathematicae
PY - 2008
VL - 111
IS - 2
SP - 183
EP - 198
AB - 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.
LA - eng
KW - locally symmetric space; simplicial volume; bounded cohomology
UR - http://eudml.org/doc/283490
ER -