Geodesic
Homogeneous Randers spaces admitting just two homogeneous geodesics
Archivum mathematicum, Tome 55 (2019) no. 5, pp. 281-288.

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The existence of a homogeneous geodesic in homogeneous Finsler manifolds was investigated and positively answered in previous papers. It is conjectured that this result can be improved, namely that any homogeneous Finsler manifold admits at least two homogenous geodesics. Examples of homogeneous Randers manifolds admitting just two homogeneous geodesics are presented.
DOI : 10.5817/AM2019-5-281
Classification : 53C22, 53C30, 53C60
Keywords: homogeneous space; Finsler space; Randers space; homogeneous geodesic 
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     title = {Homogeneous {Randers} spaces admitting just two homogeneous geodesics},
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Dušek, Zdeněk. Homogeneous Randers spaces admitting just two homogeneous geodesics. Archivum mathematicum, Tome 55 (2019) no. 5, pp. 281-288. doi : 10.5817/AM2019-5-281. http://geodesic.mathdoc.fr/articles/10.5817/AM2019-5-281/

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