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arXiv 2003-07-03 0 views

Totally skew embeddings of manifolds

Ghomi, M. · Tabachnikov, S.

Original · EN

We obtain bounds on the least dimension of an affine space that can contain an n-dimensional submanifold without any pairs of parallel or intersecting tangent lines at distinct points. This problem is closely related to the generalized vector field problem, non-singular bilinear maps, and the immersion problem for real projective spaces.

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