Email this article Metric Properties of Level Surfaces of Hölder Mappings Defined on Two-Step Carnot Groups
- Authors: Karmanova M.B.1
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Affiliations:
- Sobolev Institute of Mathematics, Siberian Branch
- Issue: Vol 97, No 2 (2018)
- Pages: 122-124
- Section: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/225472
- DOI: https://doi.org/10.1134/S1064562418020059
- ID: 225472
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Abstract
For a model case of Hölder mappings of two-step nilpotent graded groups, the metric properties of level surfaces are established. A version of the coarea formula for noncontact mappings is deduced as an application.
About the authors
M. B. Karmanova
Sobolev Institute of Mathematics, Siberian Branch
Author for correspondence.
Email: maryka@math.nsc.ru
Russian Federation, Novosibirsk, 630090
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