We study the reduction of nonautonomous regular Lagrangian systems by symmetries, which are generated by vector fields associated with connections in the configuration bundle of the system Q x R --> R. These kind of symmetries generalize the idea of 'time-invariance' (which corresponds to taking the trivial connection in the above trivial bundle). [References: 14]
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机译:我们研究了对称性对非自治规则Lagrangian系统的简化,这些对称性是由与系统Q x R-> R的配置束中的连接相关的矢量场生成的。这对应于在上述琐碎的捆绑中进行琐碎的连接)。 [参考:14]
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