Measure of submanifolds in the Engel group

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We find all intrinsic measures of $C^{1,1}$ smooth submanifolds in the Engel group, showing that they are equivalent to the corresponding $d$-dimensional spherical Hausdorff measure restricted to the submanifold. The integer $d$ is the degree of the submanifold. These results follow from a different approach to negligibility, based on a blow-up technique.

Keywords

Differential Geometry, Metric Geometry, 28A75, 22E25

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/165904

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0807.4439
 http://arxiv.org/abs/0807.4439

Collections

arXiv