Preferred parameterisations on homogeneous curves

Michael Eastwood; Jan Slovák

Commentationes Mathematicae Universitatis Carolinae (2004)

  • Volume: 45, Issue: 4, page 597-606
  • ISSN: 0010-2628

Abstract

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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.

How to cite

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Eastwood, Michael, and Slovák, Jan. "Preferred parameterisations on homogeneous curves." Commentationes Mathematicae Universitatis Carolinae 45.4 (2004): 597-606. <http://eudml.org/doc/249371>.

@article{Eastwood2004,
abstract = {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.},
author = {Eastwood, Michael, Slovák, Jan},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {homogeneous space; parabolic geometry; distinguished curves; homogeneous space; parabolic geometry; distinguished curves},
language = {eng},
number = {4},
pages = {597-606},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Preferred parameterisations on homogeneous curves},
url = {http://eudml.org/doc/249371},
volume = {45},
year = {2004},
}

TY - JOUR
AU - Eastwood, Michael
AU - Slovák, Jan
TI - Preferred parameterisations on homogeneous curves
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2004
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 45
IS - 4
SP - 597
EP - 606
AB - 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.
LA - eng
KW - homogeneous space; parabolic geometry; distinguished curves; homogeneous space; parabolic geometry; distinguished curves
UR - http://eudml.org/doc/249371
ER -

References

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  1. Ackerman M., Hermann R., Sophus Lie's 1880 Transformation Group Paper, Math Sci Press, Brookline, Mass., 1975. MR0460053
  2. Čap A., Slovák J., Žádník V., On distinguished curves in parabolic geometries, Transformation Groups 9 2 (2004), 143-166. (2004) Zbl1070.53021MR2056534
  3. Lie S., Theorie der Transformationsgruppen, Math. Ann. 16 (1880), 441-528. (1880) MR1510035
  4. Sharpe R.W., Differential Geometry, Springer, New York, 1997. Zbl0876.53001MR1453120
  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. (2002) MR1931034

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