caa a22 4500 605522014 CHVBK 20210128100743.0 cr unu---uuuuu 210128e20150301xx s 000 0 eng 10.1007/s10958-015-2251-6 doi (NATIONALLICENCE)springer-10.1007/s10958-015-2251-6 Basalaev S. Novosibirsk State University, 2, ul. Pirogova, 630090, Novosibirsk, Russia aut One-Dimensional Level Sets of hc -Differentiable Mappings of Carnot-Carathéodory Spaces [Elektronische Daten] [S. Basalaev] We study continuously hc-differentiable mappings from a Carnot-Carathéodory space ℳ such that dim Hgℳ = dimTgℳ − 1 = N for every g ∈ ℳ to an Euclidean N-dimensional space with the property that the hc-differential of the mapping is surjective. We prove that the level set of such a mapping is a curve with Hausdorff dimension 2 in the sub-Riemannian metric. We obtain area formulas for curves of that kind. Bibliography: 17 titles. Springer Science+Business Media New York, 2015 Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 205/3(2015-03-01), 335-354 1072-3374 205:3<335 2015 205 10958 https://doi.org/10.1007/s10958-015-2251-6 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10958-015-2251-6 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Basalaev S. Novosibirsk State University, 2, ul. Pirogova, 630090, Novosibirsk, Russia aut NATIONALLICENCE 773 0- Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 205/3(2015-03-01), 335-354 1072-3374 205:3<335 2015 205 10958