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.
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
Keywords: homogeneous space; parabolic geometry; distinguished curves
@article{CMUC_2004_45_4_a3,
author = {Eastwood, Michael and Slov\'ak, Jan},
title = {Preferred parameterisations on homogeneous curves},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {597--606},
year = {2004},
volume = {45},
number = {4},
mrnumber = {2103078},
zbl = {1099.22010},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_2004_45_4_a3/}
}
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/