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.
@article{107447,
author = {Alexandr Vondra},
title = {Sprays and homogeneous connections on ${\bf R}\times {\it TM}$},
journal = {Archivum Mathematicum},
volume = {028},
year = {1992},
pages = {163-173},
zbl = {0790.53028},
mrnumber = {1222283},
language = {en},
url = {http://dml.mathdoc.fr/item/107447}
}
Vondra, Alexandr. Sprays and homogeneous connections on ${\bf R}\times {\it TM}$. Archivum Mathematicum, Tome 028 (1992) pp. 163-173. http://gdmltest.u-ga.fr/item/107447/
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