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带自动形态的布尔线性三维网

IF 0.5 Q3 MATHEMATICS
Russian Mathematics Pub Date : 2024-09-05 DOI:10.3103/s1066369x24700464
A. M. Shelekhov
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引用次数: 0

摘要

摘要 发现了曲线三维网方程的一般形式，该曲线三维网容许一个参数族的自动形（\(AW\)-web）。证明了 \(AW\)-web 的自形体的轨迹是其 Chern connection 的大地线。找到了所有曲率的一个协变导数为零的网（\(AW\)-web）。
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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Сurvilinear Three-Webs with Automorphisms

Abstract

A general form of the equation of a curvilinear three-web admitting a one-parameter family of automorphisms (\(AW\)-webs) is found. It is proved that the trajectories of automorphisms of an \(AW\)-web are geodesics of its Chern connection. All \(AW\)-webs are found for which one of the covariant derivatives of curvature is zero.

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来源期刊
Russian Mathematics
Russian Mathematics MATHEMATICS-
CiteScore
0.90
自引率
25.00%
发文量
0
期刊介绍： Russian Mathematics  is a peer reviewed periodical that encompasses the most significant research in both pure and applied mathematics.
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