Measure of submanifolds in the Engel group
Differential Geometry
2008-07-29 v1 Metric Geometry
Abstract
We find all intrinsic measures of smooth submanifolds in the Engel group, showing that they are equivalent to the corresponding -dimensional spherical Hausdorff measure restricted to the submanifold. The integer is the degree of the submanifold. These results follow from a different approach to negligibility, based on a blow-up technique.
Keywords
Cite
@article{arxiv.0807.4439,
title = {Measure of submanifolds in the Engel group},
author = {Enrico Le Donne and Valentino Magnani},
journal= {arXiv preprint arXiv:0807.4439},
year = {2008}
}