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arxiv: 0807.4439 · v1 · submitted 2008-07-28 · 🧮 math.DG · math.MG

Measure of submanifolds in the Engel group

classification 🧮 math.DG math.MG
keywords engelgroupmeasuresubmanifoldsubmanifoldsapproachblow-upcorresponding
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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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