Email this article Level Sets of Classes of Mappings of Two-Step Carnot Groups in a Nonholonomic Interpretation
- Authors: Karmanova M.B.1
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Affiliations:
- Sobolev Institute of Mathematics
- Issue: Vol 60, No 2 (2019)
- Pages: 304-311
- Section: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/172331
- DOI: https://doi.org/10.1134/S0037446619020101
- ID: 172331
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Abstract
We obtain the metric properties of level sets of certain sufficiently smooth mappings of two-step Carnot groups which are Hölder in the sub-Riemannian sense. In particular, we calculate the Hausdorff dimension of these sets and prove a coarea formula of a new type.
About the authors
M. B. Karmanova
Sobolev Institute of Mathematics
Author for correspondence.
Email: maryka@math.nsc.ru
Russian Federation, Novosibirsk
