Geodesic
Sprays and homogeneous connections on ${\bf R}\times {\it TM}$
Archivum mathematicum, Tome 28 (1992) no. 3-4, pp. 163-173 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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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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/

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