Totally skew embeddings of manifolds
Differential Geometry
2007-05-23 v1
Abstract
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 points. This problem is closely related to the generalized vector field problem, non-singular bilinear maps, and the immersion problem for real projective spaces.
Keywords
Cite
@article{arxiv.math/0307044,
title = {Totally skew embeddings of manifolds},
author = {M. Ghomi and S. Tabachnikov},
journal= {arXiv preprint arXiv:math/0307044},
year = {2007}
}