47 citations · 313 across the 74 of their papers we have counts for
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math.DG2005★ 10 cited
The Poncelet grid and the billiard in an ellipse
M. Levi, S. Tabachnikov
We deduce a recent theorem by R. Schwartz on the structure of the so-called Poncelet grid from complete integrability of the billiard in an ellipse
math.DG2005★ 4 cited
Existence and non-existence of skew branes
S. Tabachnikov, Yu. Tyurina
Following recent work by Ghomi, Solomon and Tabachnikov, we study geometry and topology of skew branes. A skew brane is a codimension 2 submanifold in affine space such that the ta…
math.DG2005★ 1 cited
Non-existence of n-dimensional T-embedded discs in R^2n
G. Stojanovic, S. Tabachnikov
A manifold is T-embedded into an affine space if its tangent spaces at distinct points are disjoint. We prove that an n-dimensional disc cannot be T-embedded into 2n-dimensional sp…