Geodesic
Sprays and homogeneous connections on ${\bf R}\times {\it TM}$
Archivum mathematicum, Tome 28 (1992) no. 3-4, pp. 163-173.

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The homogeneity properties of two different families of geometric objects playing a crutial role in the non-autonomous first-order dynamics - semisprays and dynamical connections on $R\times TM$ - are studied. A natural correspondence between sprays and a special class of homogeneous connections is presented.
Classification : 53C05, 53C15, 58F05, 70H03, 70H35
Keywords: semispray; connection; path; torsion; tension; spray; homogeneous dynamical connection 
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     author = {Vondra, Alexandr},
     title = {Sprays and homogeneous connections on ${\bf R}\times {\it TM}$},
     journal = {Archivum mathematicum},
     pages = {163--173},
     publisher = {mathdoc},
     volume = {28},
     number = {3-4},
     year = {1992},
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     zbl = {0790.53028},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_1992__28_3-4_a3/}
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Vondra, Alexandr. Sprays and homogeneous connections on ${\bf R}\times {\it TM}$. Archivum mathematicum, Tome 28 (1992) no. 3-4, pp. 163-173. http://geodesic.mathdoc.fr/item/ARM_1992__28_3-4_a3/