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Sprays and homogeneous connections on \(R \times TM\). (English) Zbl 0790.53028

The paper is dealing with various structures on \(R\times TM\) (\(M\) being a differentiable manifold), and the main results refer to the relationship between homogeneous dynamical connections and sprays on the previous fibred manifold. Roughly, speaking, it is proved (among other things) that these objects are in a bijective correspondence.

MSC:

53C05 Connections (general theory)
70H03 Lagrange’s equations
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