Systolic volume and minimal entropy of aspherical manifolds

Details Systolic volume and minimal entropy of aspherical manifolds Systolic volume and minimal entropy of aspherical manifolds

2006-03-30

arxiv.org/abs/math/0603695v1

Mathematics

Differential Geometry

24 pages. J. Diff. Geom, to appear

Scientific paper

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.

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