10 citations · 38 across the 21 of their papers we have counts for
Showing 2006 · math.DGShow all
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math.DG2006★ 3 cited
E_7, Wirtinger inequalities, Cayley 4-form, and homotopy
Victor Bangert, Mikhail G. Katz, Steven Shnider +1
We study optimal curvature-free inequalities of the type discovered by C. Loewner and M. Gromov, using a generalisation of the Wirtinger inequality for the comass. Using a model fo…
math.DG2006
Systolic inequalities and Massey products in simply-connected manifolds
Mikhail G. Katz
We show that the existence of a nontrivial Massey product in the cohomology ring H^*(X) imposes global constraints upon the Riemannian geometry of a manifold X. Namely, we exhibit…
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…