Email this article On the Class of Hölder Surfaces in Carnot—Carathéodory Spaces
- Authors: Karmanova M.B.1
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Affiliations:
- Sobolev Institute of Mathematics
- Issue: Vol 60, No 5 (2019)
- Pages: 861-885
- Section: Article
- URL: https://journal-vniispk.ru/0037-4466/article/view/172651
- DOI: https://doi.org/10.1134/S0037446619050094
- ID: 172651
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Abstract
Considering two classes of Hölder mappings of Carnot-Carathéodory spaces, graph mappings and smooth mappings in the Riemannian sense, we obtain an area formula for image surfaces. In particular, we describe the structure of the polynomial sub-Riemannian differential for graph mappings.
About the authors
M. B. Karmanova
Sobolev Institute of Mathematics
Author for correspondence.
Email: maryka@math.nsc.ru
Russian Federation, Novosibirsk
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