Totally skew embeddings of manifolds

Details Totally skew embeddings of manifolds Totally skew embeddings of manifolds

2003-07-03

arxiv.org/abs/math/0307044v1

Mathematics

Differential Geometry

Scientific paper

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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