Alexey Balitskiy

activity

20132022

most citedElementary approach to closed billiard trajectories in asymmetric normed spaces

16 citations · 37 across the 11 of their papers we have counts for

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2 papers · 1 filter

math.DG2022

Systolic almost-rigidity modulo 2

Hannah Alpert, Alexey Balitskiy, Larry Guth

No power law systolic freedom is possible for the product of mod $2$ systoles of dimension $1$ and codimension $1$ . This means that any closed $n$ -dimensional Riemannian manifold $…

math.DG2021★ 1 cited

Macroscopic scalar curvature and codimension 2 width

Hannah Alpert, Alexey Balitskiy, Larry Guth

We show that a complete $3$ -dimensional Riemannian manifold $M$ with finitely generated first homology has macroscopic dimension $1$ if it satisfies the following "macroscopic curv…