Systolic volume and minimal entropy of aspherical manifolds
Differential Geometry
2007-05-23 v1 Geometric Topology
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.
Keywords
Cite
@article{arxiv.math/0603695,
title = {Systolic volume and minimal entropy of aspherical manifolds},
author = {Stephane Sabourau},
journal= {arXiv preprint arXiv:math/0603695},
year = {2007}
}
Comments
24 pages. J. Diff. Geom, to appear