Sub-Lorentzian Coarea Formula for Mappings of Carnot Groups Full article
| Journal |
Siberian Mathematical Journal
ISSN: 0037-4466 , E-ISSN: 1573-9260 |
||
|---|---|---|---|
| Output data | Year: 2022, Volume: 63, Number: 3, Pages: 485-508 Pages count : 24 DOI: 10.1134/S0037446622030090 | ||
| Tags | 517.518.1; approximation order; Carnot group; coarea formula; level set; sub-Lorentzian measure; sub-Lorentzian structure | ||
| Authors |
|
||
| Affiliations |
|
Funding (1)
| 1 |
Министерство науки и высшего образования РФ Mathematical Center in Akademgorodok |
075-15-2019-1613, 075-15-2022-281 |
Abstract:
Considering the class of contact mappings of Carnot groupswith a multidimensional sub-Lorentzian structure on the preimages,we prove thatthe tangent plane approximates the level setsto a higher order than in the classical case.We also obtain a coarea formula for such mappingswith a sub-Lorentzian measure on the level sets.
Cite:
Karmanova M.B.
Sub-Lorentzian Coarea Formula for Mappings of Carnot Groups
Siberian Mathematical Journal. 2022. V.63. N3. P.485-508. DOI: 10.1134/S0037446622030090 WOS Scopus РИНЦ OpenAlex
Sub-Lorentzian Coarea Formula for Mappings of Carnot Groups
Siberian Mathematical Journal. 2022. V.63. N3. P.485-508. DOI: 10.1134/S0037446622030090 WOS Scopus РИНЦ OpenAlex
Original:
Карманова М.Б.
Сублоренцева формула коплощади для отображений групп Карно
Сибирский математический журнал. 2022. Т.63. №3. С.587-612. DOI: 10.33048/smzh.2022.63.309 РИНЦ
Сублоренцева формула коплощади для отображений групп Карно
Сибирский математический журнал. 2022. Т.63. №3. С.587-612. DOI: 10.33048/smzh.2022.63.309 РИНЦ
Dates:
| Submitted: | Jul 26, 2021 |
| Accepted: | Feb 10, 2022 |
| Published online: | Jun 6, 2022 |
Identifiers:
| Web of science: | WOS:000806926800009 |
| Scopus: | 2-s2.0-85131507178 |
| Elibrary: | 48723000 |
| OpenAlex: | W4281784049 |