Simplicial volume of ℚ–rank one locally symmetric spaces covered by the product of ℝ–rank one symmetric spaces

Kim, Sungwoon; Kim, Inkang

doi:10.2140/agt.2012.12.1165

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Simplicial volume of $\mathbb{Q}$–rank one locally symmetric spaces covered by the product of $\mathbb{R}$–rank one symmetric spaces

Sungwoon Kim and Inkang Kim

Algebraic & Geometric Topology 12 (2012) 1165–1181

DOI: 10.2140/agt.2012.12.1165

Abstract

In this paper, we show that the simplicial volume of $ℚ$ –rank one locally symmetric spaces covered by the product of $ℝ$ –rank one symmetric spaces is strictly positive.

Keywords

simplicial volume, symmetric space, arithmetic lattice

Mathematical Subject Classification 2000

Primary: 53C23

Secondary: 53C35

References

Publication

Received: 20 November 2011

Revised: 8 March 2012

Accepted: 12 March 2012

Published: 24 May 2012

Authors

Sungwoon Kim
School of Mathematics KIAS Heogiro 85 Dongdaemun-gu Seoul 130-722 Republic of Korea

Inkang Kim
School of Mathematics KIAS Heogiro 85 Dongdaemun-gu Seoul 130-722 Republic of Korea

Volume 12, issue 2 (2012)