The Area of Surfaces on Sub-Lorentzian Structures of Depth Two Full article
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Siberian Advances in Mathematics
ISSN: 1055-1344 , E-ISSN: 1934-8126 |
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| Output data | Year: 2023, Volume: 33, Number: 3, Pages: 214-229 Pages count : 16 DOI: 10.1134/s1055134423030069 | ||
| Tags | contact mapping, Carnot group, sub-Lorentzian structure, Hausdorff measure, area formula | ||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Sobolev Institute of Mathematics | FWNF-2022-0006 |
Abstract:
For contact mappings of Carnot groups of depth two whose image is endowed with a sub-Lorentzian structure, we prove local properties of the surfaces-images and explicitly deduce a sub-Lorentzian analog of the area formula. The result in particular also holds for Lipschitz mappings in the sub-Riemannian sense.
Cite:
Karmanova M.B.
The Area of Surfaces on Sub-Lorentzian Structures of Depth Two
Siberian Advances in Mathematics. 2023. V.33. N3. P.214-229. DOI: 10.1134/s1055134423030069 Scopus РИНЦ OpenAlex
The Area of Surfaces on Sub-Lorentzian Structures of Depth Two
Siberian Advances in Mathematics. 2023. V.33. N3. P.214-229. DOI: 10.1134/s1055134423030069 Scopus РИНЦ OpenAlex
Original:
Карманова М.Б.
Площадь поверхностей на сублоренцевых структурах глубины два
Математические труды. 2023. Т.26. №1. С.93-119. DOI: 10.33048/mattrudy.2023.26.105 РИНЦ
Площадь поверхностей на сублоренцевых структурах глубины два
Математические труды. 2023. Т.26. №1. С.93-119. DOI: 10.33048/mattrudy.2023.26.105 РИНЦ
Dates:
| Submitted: | Jan 17, 2023 |
| Accepted: | May 17, 2023 |
| Published print: | Sep 1, 2023 |
| Published online: | Sep 1, 2023 |
Identifiers:
| Scopus: | 2-s2.0-85169682753 |
| Elibrary: | 64162009 |
| OpenAlex: | W4386367826 |