Сurvilinear Three-Webs with Automorphisms
IF 0.5
Q3 MATHEMATICS
引用次数: 0
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.
带自动形态的布尔线性三维网
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）。
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来源期刊
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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