Geodesic
Preferred parameterisations on homogeneous curves
Commentationes Mathematicae Universitatis Carolinae, Tome 45 (2004) no. 4, pp. 597-606.

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We show how to specify preferred parameterisations on a homogeneous curve in an arbitrary homogeneous space. We apply these results to limit the natural parameters on distinguished curves in parabolic geometries.
Classification : 17B66, 22F30, 53A40, 53C30
Keywords: homogeneous space; parabolic geometry; distinguished curves 
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     title = {Preferred parameterisations on homogeneous curves},
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Eastwood, Michael; Slovák, Jan. Preferred parameterisations on homogeneous curves. Commentationes Mathematicae Universitatis Carolinae, Tome 45 (2004) no. 4, pp. 597-606. http://geodesic.mathdoc.fr/item/CMUC_2004__45_4_a3/