Measure of submanifolds in the Engel group

Mathematics – Differential Geometry

Scientific paper

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Scientific paper

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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