Alexey A. Glutsyuk

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20242026

most citedIf a Minkowski billiard is projective, it is the standard billiard

1 citations · 2 across the 4 of their papers we have counts for

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math.DS2026

On exotic rationally integrable planar dual billiards I. Complex geometry and type of dynamics

Alexey Glutsyuk

A planar dual billiard is a planar curve $γ$ equipped with a family $(σ_{P}) ∣_{P \in γ}$ of projective involutions of the projective lines $L_{P}$ tangent to $γ$ at $P$ that fix $P$ . A d…

math.DS2024★ 1 cited

If a Minkowski billiard is projective, it is the standard billiard

Alexey Glutsyuk, Vladimir S. Matveev

In the recent paper arXiv:2405.13258, the first author of this note proved that if a billiard in a convex domain in $R^{n}$ is simultaneously projective and Minkowski, then…

math.DS2024★ 1 cited

On Hamiltonian projective billiards on boundaries of products of convex bodies

Alexey Glutsyuk

Let $K \subset R_{q}^{n}$ , $T \subset R_{p}^{n}$ be two bounded strictly convex bodies (open subsets) with $C^{6}$ -smooth boundaries. We consider the product $\overline K\times\o…