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Local metric properties of level surfaces on Carnot–Caratheodory spaces
- Authors: Karmanova M.B.1
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Affiliations:
- Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
- Issue: Vol 484, No 5 (2019)
- Pages: 527-531
- Section: Mathematics
- URL: https://journals.eco-vector.com/0869-5652/article/view/12760
- DOI: https://doi.org/10.31857/S0869-56524845527-531
- ID: 12760
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Abstract
For level sets of -mappings of Carnot manifolds to Carnot–Caratheodory spaces, we introduce an adequate local metric characteristic. Moreover, for mappings defined on Carnot groups, we construct a special adapted basis in the preimage such that it assigns a suitable local sub-Riemannian structure on a complement of a kernel of a sub-Riemannian differential to the initial sub-Riemannian structure in the image.
About the authors
M. B. Karmanova
Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Author for correspondence.
Email: maryka@math.nsc.ru
Russian Federation, 4, Acad. Koptyug prospect, Novosibirsk, 630090
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