马蒂内分布上的亚洛伦兹几何学

IF 0.5 4区数学 Q3 MATHEMATICS

Doklady Mathematics Pub Date : 2024-06-20 DOI:10.1134/s1064562424702053

Yu. L. Sachkov

引用次数: 0

摘要

摘要研究了马丁内分布上的两个亚洛伦兹几何问题。对于第一个问题，可达集与马蒂内平面有一个非三交，而对于第二个问题，则有一个三交。对可达集、最优轨迹以及亚洛伦兹距离和球面进行了描述。

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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Sub-Lorentzian Geometry on the Martinet Distribution

Abstract

Two problems of sub-Lorentzian geometry on the Martinet distribution are studied. For the first one, the reachable set has a nontrivial intersection with the Martinet plane, while a trivial intersection occurs for the second problem. Reachable sets, optimal trajectories, and sub-Lorentzian distances and spheres are described.

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来源期刊

Doklady Mathematics 数学-数学

CiteScore

1.00

自引率

16.70%

发文量

审稿时长

3-6 weeks

期刊介绍： Doklady Mathematics is a journal of the Presidium of the Russian Academy of Sciences. It contains English translations of papers published in Doklady Akademii Nauk (Proceedings of the Russian Academy of Sciences), which was founded in 1933 and is published 36 times a year. Doklady Mathematics includes the materials from the following areas: mathematics, mathematical physics, computer science, control theory, and computers. It publishes brief scientific reports on previously unpublished significant new research in mathematics and its applications. The main contributors to the journal are Members of the RAS, Corresponding Members of the RAS, and scientists from the former Soviet Union and other foreign countries. Among the contributors are the outstanding Russian mathematicians.