We deal with the construction of linear connections associated with second order ordinary differential equations with and without first order constraints. We use a novel method allowing glueing of submodule covariant derivatives to produce new, closed form expressions for the Massa-Pagani connection and our extension of it to the constrained case.

中文翻译：

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有约束和无约束的二阶 ODE 的线性连接和形状映射

我们处理与具有和不具有一阶约束的二阶常微分方程相关联的线性连接的构造。我们使用一种新方法，允许粘合子模块协变导数，为 Massa-Pagani 连接生成新的封闭形式表达式，并将其扩展到受约束的情况。