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

TL;DR

This paper proves that the simplicial volume of certain Q-rank one locally symmetric spaces, specifically those covered by products of R-rank one symmetric spaces, is always strictly positive.

Contribution

It establishes the positivity of simplicial volume for a new class of locally symmetric spaces covered by product spaces, extending previous results.

Findings

Simplicial volume of these spaces is strictly positive.

The result applies to spaces covered by products of R-rank one symmetric spaces.

Provides new insights into the geometric properties of these manifolds.

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.