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Article

Eastwood, Michael ; Slovák, Jan
Preferred parameterisations on homogeneous curves. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 45 (2004), issue 4, pp. 597-606
MSC: 17B66, 22F30, 53A40, 53C30 | MR 2103078 | Zbl 1099.22010
Keywords:
homogeneous space; parabolic geometry; distinguished curves
Summary:
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.
References:
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[5] Strigunova M.S.: Finite-dimensional subalgebras of the Lie algebra of vector fields on the circle (in Russian). Trudy Mat. Inst. Steklova 236 (2002), 338-342. MR 1931034
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