138 citations · 1.8k across the 93 of their papers we have counts for
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math.DG2002★ 5 cited
Free abelian covers, short loops, stable length, and systolic inequalities
Mikhail Katz, Matthias Kreck, Alexander Suciu
Withdrawn by first author.
math.DG2001★ 1 cited
Systolic freedom of loop space
Mikhail G. Katz, Alexander I. Suciu
Given a pair of integers m and n such that 1 < m < n, we show that every n-dimensional manifold admits metrics of arbitrarily small total volume, and possessing the following prope…
math.DG1998
Volume of Riemannian manifolds, geometric inequalities, and homotopy theory
Mikhail G. Katz, Alexander I. Suciu
We outline the current state of knowledge regarding geometric inequalities of systolic type, and prove new results, including systolic freedom in dimension 4. Namely, every compact…