Polynomial sub-Riemannian differentiability on Carnot groups
- Authors: Karmanova M.B.1
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Affiliations:
- Sobolev Institute of Mathematics, Siberian Branch
- Issue: Vol 94, No 3 (2016)
- Pages: 663-666
- Section: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/224545
- DOI: https://doi.org/10.1134/S106456241606017X
- ID: 224545
Cite item
Abstract
The polynomial sub-Riemannian differentiability of classes of mappings of Carnot groups and graphs is proved. Examples of polynomial sub-Riemannian differentials preserving Hausdorff dimension are given.
About the authors
M. B. Karmanova
Sobolev Institute of Mathematics, Siberian Branch
Author for correspondence.
Email: maryka@math.nsc.ru
Russian Federation, pr. Akademika Koptyuga 4, Novosibirsk, 630090