The Area of Images of Classes of Measurable Sets on Carnot Groups with Sub-Lorentzian Structure

The Area of Images of Classes of Measurable Sets on Carnot Groups with Sub-Lorentzian Structure Full article

Journal

Siberian Mathematical Journal
ISSN: 0037-4466 , E-ISSN: 1573-9260

Output data

Year: 2024, Volume: 65, Number: 5, Pages: 1116-1138 Pages count : 23 DOI: 10.1134/s0037446624050124

Funding (1)

Sobolev Institute of Mathematics

FWNF-2022-0006

For the intrinsically Lipschitz mappings defined on classes of measurable subsets of Carnot groups of arbitrary depth and acting to Carnot groups with sub-Lorentzian structure, we obtain a subLorentzian analog of the area formula and in particular introduce a suitable definition of Hausdorff measure for the images of measurable sets incorporating the details of their structure.

Karmanova M.B.
The Area of Images of Classes of Measurable Sets on Carnot Groups with Sub-Lorentzian Structure
Siberian Mathematical Journal. 2024. V.65. N5. P.1116-1138. DOI: 10.1134/s0037446624050124 WOS Scopus РИНЦ OpenAlex

Карманова М.Б.
Площадь образов классов измеримых множеств на группах Карно с сублоренцевой структурой
Сибирский математический журнал. 2024. Т.65. №5. С.1048-1070. DOI: 10.33048/smzh.2024.65.512 РИНЦ

Submitted:	Apr 9, 2024
Accepted:	Jun 20, 2024
Published print:	Sep 25, 2024
Published online:	Sep 25, 2024

Web of science:	WOS:001320442300021
Scopus:	2-s2.0-85204771767
Elibrary:	69920888
OpenAlex:	W4402842299

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