4 citations · 5 across the 3 of their papers we have counts for
3 papers
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…
math.DG2004
Tire track geometry: variations on a theme
Serge Tabachnikov
We study closed smooth convex plane curves enjoying the following property: a pair of points can traverse so that the distances between and along the curve an…