DIMENSION OF TOTALLY SKEW EMBEDDING

Ghomi and Tabachinkov in [5] studied a version of Whitney`s embedding problem: Whatis the smallest Whitney`s embedding of an affine space that can contain an n-dimensionalsubmanifold without any pairs of parallel or intersecting tangent lines at distinct point?Weuse the configuration space ( ) 2n F M of ordered pairs of distinct points in smoothmanifold n M . We use the presented method in [3] to obtain several specific and generalbounds for the desired dimension

کلیدواژه ها:

manifold ، submanifold ، Whitney`s embedding ، tangent lines ، dimension