Remarks on development of curves
| Authors | |
|---|---|
| Year of publication | 2005 |
| Type | Article in Proceedings |
| Conference | Supplemento ai Rendiconti del Circolo Matematico di Palermo, Serie II |
| MU Faculty or unit | |
| 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. |
| Related projects: |