Lipschitz Images of Open Sets on Sub-Lorentzian Structures

Siberian Advances in Mathematics Pub Date : 2024-03-11 DOI:10.1134/s1055134424010036

M. B. Karmanova

引用次数: 0

Abstract

We prove a sub-Lorentzian analog of the area formula for intrinsically Lipschitz mappings of open subsets of Carnot groups of arbitrary depth with a sub-Lorentzian structure introduced on the image space.

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子洛伦兹结构上开集的 Lipschitz 图像

摘要我们证明了在图像空间上引入亚洛伦兹结构的任意深度卡诺群开放子集的本征 Lipschitz 映射的亚洛伦兹类似面积公式。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Siberian Advances in Mathematics Mathematics-Mathematics (all)

CiteScore

0.70

自引率

0.00%

发文量

期刊介绍： Siberian Advances in Mathematics is a journal that publishes articles on fundamental and applied mathematics. It covers a broad spectrum of subjects: algebra and logic, real and complex analysis, functional analysis, differential equations, mathematical physics, geometry and topology, probability and mathematical statistics, mathematical cybernetics, mathematical economics, mathematical problems of geophysics and tomography, numerical methods, and optimization theory.