Area-expanding embeddings of rectangles
Differential Geometry
2007-10-03 v1
Abstract
We estimate whether there is an embedding from one n-dimensional rectangle into another which expands every k-dimensional area. Our estimate is sharp up to a constant factor in each dimension.
Cite
@article{arxiv.0710.0403,
title = {Area-expanding embeddings of rectangles},
author = {Larry Guth},
journal= {arXiv preprint arXiv:0710.0403},
year = {2007}
}
Comments
21 pages, 6 figures