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Systolic volume and minimal entropy of aspherical manifolds

Research paper by Stephane Sabourau

Indexed on: 29 Mar '06Published on: 29 Mar '06Published in: Mathematics - Differential Geometry



Abstract

We establish isosystolic inequalities for a class of manifolds which includes the aspherical manifolds. In particular, we relate the systolic volume of aspherical manifolds first to their minimal entropy, then to the algebraic entropy of their fundamental groups.