<p>A coarea formula is established for mappings of Carnot groups of arbitrary depth. One of the key properties is the description of the relationship between Hausdorff measures constructed using sub-Riemannian and Riemannian quasimetric structures.</p>

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Noncontact Mappings of General Carnot Groups and a Coarea Formula

  • M. B. Karmanova

摘要

A coarea formula is established for mappings of Carnot groups of arbitrary depth. One of the key properties is the description of the relationship between Hausdorff measures constructed using sub-Riemannian and Riemannian quasimetric structures.