Standard

The coarea formula for projections of Lipschitz maps of Carnot groups. / Basalaev, Sergey Gennadievich.

в: Sbornik Mathematics, Том 216, № 9, 2, 18.11.2025, стр. 2111-1230.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Basalaev, SG 2025, 'The coarea formula for projections of Lipschitz maps of Carnot groups', Sbornik Mathematics, Том. 216, № 9, 2, стр. 2111-1230. https://doi.org/10.4213/sm10158e

APA

Basalaev, S. G. (2025). The coarea formula for projections of Lipschitz maps of Carnot groups. Sbornik Mathematics, 216(9), 2111-1230. [2]. https://doi.org/10.4213/sm10158e

Vancouver

Basalaev SG. The coarea formula for projections of Lipschitz maps of Carnot groups. Sbornik Mathematics. 2025 нояб. 18;216(9):2111-1230. 2. doi: 10.4213/sm10158e

Author

Basalaev, Sergey Gennadievich. / The coarea formula for projections of Lipschitz maps of Carnot groups. в: Sbornik Mathematics. 2025 ; Том 216, № 9. стр. 2111-1230.

BibTeX

@article{99ce90e174e24a56a4638c72eaa5c4e5,
title = "The coarea formula for projections of Lipschitz maps of Carnot groups",
abstract = "A special coarea inequality is established for the compositions of Lipschitz maps of Carnot groups with projections along horizontal vector fields. Equality is proved for maps with finite codistortion and maps acting on the Heisenberg group. Bibliography: 42 titles.",
keywords = "ГРУППА КАРНО, ФОРМУЛА КОПЛОЩАДИ, НЕРАВЕНСТВО ЭЙЛЕНБЕРГА, CARNOT GROUP, COAREA FORMULA, EILENBERG'S INEQUALITY",
author = "Basalaev, {Sergey Gennadievich}",
note = "This research was supported by the Mathematical Center in Akademgorodok, under agreement no. 075-15-2022-282 with the Ministry of Science and Higher Education of the Russian Federation.",
year = "2025",
month = nov,
day = "18",
doi = "10.4213/sm10158e",
language = "English",
volume = "216",
pages = "2111--1230",
journal = "Sbornik Mathematics",
issn = "1064-5616",
publisher = "Математический институт им. В.А. Стеклова Российской академии наук (Москва)",
number = "9",

}

RIS

TY - JOUR

T1 - The coarea formula for projections of Lipschitz maps of Carnot groups

AU - Basalaev, Sergey Gennadievich

N1 - This research was supported by the Mathematical Center in Akademgorodok, under agreement no. 075-15-2022-282 with the Ministry of Science and Higher Education of the Russian Federation.

PY - 2025/11/18

Y1 - 2025/11/18

N2 - A special coarea inequality is established for the compositions of Lipschitz maps of Carnot groups with projections along horizontal vector fields. Equality is proved for maps with finite codistortion and maps acting on the Heisenberg group. Bibliography: 42 titles.

AB - A special coarea inequality is established for the compositions of Lipschitz maps of Carnot groups with projections along horizontal vector fields. Equality is proved for maps with finite codistortion and maps acting on the Heisenberg group. Bibliography: 42 titles.

KW - ГРУППА КАРНО

KW - ФОРМУЛА КОПЛОЩАДИ

KW - НЕРАВЕНСТВО ЭЙЛЕНБЕРГА

KW - CARNOT GROUP

KW - COAREA FORMULA

KW - EILENBERG'S INEQUALITY

UR - https://www.scopus.com/pages/publications/105024132310

UR - https://elibrary.ru/item.asp?id=83004940

UR - https://www.mendeley.com/catalogue/9119656e-41dc-31f3-acd5-038b717c9513/

U2 - 10.4213/sm10158e

DO - 10.4213/sm10158e

M3 - Article

VL - 216

SP - 2111

EP - 1230

JO - Sbornik Mathematics

JF - Sbornik Mathematics

SN - 1064-5616

IS - 9

M1 - 2

ER -

ID: 72669113