Embeddings With Multiple Regularity
Differential Geometry
2007-05-23 v1
Abstract
We introduce -regular maps, which generalize two previously studied classes of maps: affinely -regular maps and totally skew embeddings. We exhibit some explicit examples and obtain bounds on the least dimension of a Euclidean space into which a manifold can be embedded by a -regular map. The problem can be regarded as an extension of embedding theory to embeddings with certain non-degeneracy conditions imposed, and is related to approximation theory.
Cite
@article{arxiv.math/0506173,
title = {Embeddings With Multiple Regularity},
author = {Gordana Stojanovic},
journal= {arXiv preprint arXiv:math/0506173},
year = {2007}
}