46 citations · 122 across the 27 of their papers we have counts for
Showing 2006 · math.DGShow all
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math.DG2006
Systolic invariants of groups and 2-complexes via Grushko decomposition
Yuli B. Rudyak, Stéphane Sabourau
We prove a finiteness result for the systolic area of groups, answering a question of M. Gromov. Namely, we show that there are only finitely many possible unfree factors of fundam…
math.DG2006★ 2 cited
Systolic volume and minimal entropy of aspherical manifolds
Stephane Sabourau
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 t…
math.DG2006★ 2 cited
Systoles of 2-complexes, Reeb graph, and Grushko decomposition
Mikhail G. Katz, Yuli B. Rudyak, Stephane Sabourau
Let X be a finite 2-complex with unfree fundamental group. We prove lower bounds for the area of a metric on X, in terms of the square of the least length of a noncontractible loop…