15 citations · 33 across the 7 of their papers we have counts for
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math.DG2003
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…
math.DG2003★ 13 cited
Remarks on magnetic flows and magnetic billiards, Finsler metrics and a magnetic analog of Hilbert's fourth problem
Serge Tabachnikov
We interpret magnetic billiards as Finsler ones and describe an analog of the string construction for magnetic billiards. Finsler billiards for which the law "angle of incidence eq…
math.DG2003
On skew loops, skew branes and quadratic hypersurfaces
Serge Tabachnikov
A skew brane is an immersed codimension 2 submanifold in affine space, free from pairs of parallel tangent spaces. Using Morse theory, we prove that a skew brane cannot lie on a qu…