Remarks on development of curves

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Authors

ŽÁDNÍK Vojtěch

Year of publication 2005
Type Article in Proceedings
Conference Supplemento ai Rendiconti del Circolo Matematico di Palermo, Serie II
MU Faculty or unit

Faculty of Education

Citation
Field General mathematics
Keywords Cartan geometry; development; generalized geodesics
Description The classical notion of development of curves easily generalizes to the wide class of Cartan geometries. This construction provides some correspondence between smooth curves on the base manifold and smooth curves in the homogeneous space of the geometry in question. In this vein, there are specific curves on the base manifold distinguished in terms of their developments. Explicit relationship between the initial curve and its development is worked out.
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