2003/07/03 by M. Ghomi, Ghomi, M., S. Tabachnikov +1
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #math.DG
paper · pdf · doi:10.48550/arxiv.math/0307044
arxiv created 2003/07/03 · arxiv updated 2009/11/30
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.