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.
Publié le : 2010-03-15
Classification:
Engel group,
submanifolds,
Hausdorff measure,
58C35,
22E25,
53C17
@article{1266330126,
author = {Le Donne
,
Enrico and Magnani
,
Valentino},
title = {Measure of submanifolds in the Engel group},
journal = {Rev. Mat. Iberoamericana},
volume = {26},
number = {1},
year = {2010},
pages = { 333-346},
language = {en},
url = {http://dml.mathdoc.fr/item/1266330126}
}
Le Donne
,
Enrico; Magnani
,
Valentino. Measure of submanifolds in the Engel group. Rev. Mat. Iberoamericana, Tome 26 (2010) no. 1, pp. 333-346. http://gdmltest.u-ga.fr/item/1266330126/