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arXiv · 0807.4439

Measure of submanifolds in the Engel group

Enrico Le Donne·Valentino Magnani
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Abstract

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.

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Enrico Le Donne, Valentino Magnani. 2008-07-28. Measure of submanifolds in the Engel group. https://arxiv.org/abs/0807.4439

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