The proportionality constant for the
simplicial volume of locally symmetric spaces
Colloquium Mathematicum, Tome 111 (2008) no. 2, pp. 183-198
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
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
$M={\mit\Gamma }\backslash G /K$ 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.
Keywords:
follow ideas going back gromovs seminal article publ math ihes proportionality constant relating simplicial volume volume closed oriented locally symmetric space mit gamma backslash noncompact type equal gromov norm volume form continuous cohomology proportionality constant becomes easier compute furthermore method gives simple proof proportionality principle arbitrary manifolds
Affiliations des auteurs :
Michelle Bucher-Karlsson 1
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title = {The proportionality constant for the
simplicial volume of locally symmetric spaces},
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Michelle Bucher-Karlsson. The proportionality constant for the simplicial volume of locally symmetric spaces. Colloquium Mathematicum, Tome 111 (2008) no. 2, pp. 183-198. doi: 10.4064/cm111-2-2
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