One-Dimensional Level Sets of hc -Differentiable Mappings of Carnot-Carathéodory Spaces
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| 024 | 7 | 0 | |a 10.1007/s10958-015-2251-6 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10958-015-2251-6 | ||
| 100 | 1 | |a Basalaev |D S. |u Novosibirsk State University, 2, ul. Pirogova, 630090, Novosibirsk, Russia |4 aut | |
| 245 | 1 | 0 | |a One-Dimensional Level Sets of hc -Differentiable Mappings of Carnot-Carathéodory Spaces |h [Elektronische Daten] |c [S. Basalaev] |
| 520 | 3 | |a 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. | |
| 540 | |a Springer Science+Business Media New York, 2015 | ||
| 773 | 0 | |t Journal of Mathematical Sciences |d Springer US; http://www.springer-ny.com |g 205/3(2015-03-01), 335-354 |x 1072-3374 |q 205:3<335 |1 2015 |2 205 |o 10958 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10958-015-2251-6 |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10958-015-2251-6 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 100 |E 1- |a Basalaev |D S. |u Novosibirsk State University, 2, ul. Pirogova, 630090, Novosibirsk, Russia |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Journal of Mathematical Sciences |d Springer US; http://www.springer-ny.com |g 205/3(2015-03-01), 335-354 |x 1072-3374 |q 205:3<335 |1 2015 |2 205 |o 10958 | ||