4 citations · 5 across the 3 of their papers we have counts for
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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…
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…
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…
Totally skew embeddings of manifolds
M. Ghomi, S. Tabachnikov
We obtain bounds on the least dimension of an affine space that can contain an -dimensional submanifold without any pairs of parallel or intersecting tangent lines at distinct p…