| Автор | Ezra T Newman |
| Автор | Pawel Nurowski |
| Дата выпуска | 2003-06-07 |
| dc.description | We show that every second-order ODE defines a four-parameter family of projective connections on its two-dimensional solution space. In a special case of ODEs, for which a certain point transformation invariant vanishes, we find that this family of connections always has a preferred representative. This preferred representative turns out to be identical to the projective connection described in Cartanʼs classic paper (Cartan E 1924 Bull. Soc. Math. France 52 205–41, 1955 Oeuvres III 1 825–62). |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | Projective connections associated with second-order ODEs |
| Тип | paper |
| DOI | 10.1088/0264-9381/20/11/324 |
| Electronic ISSN | 1361-6382 |
| Print ISSN | 0264-9381 |
| Журнал | Classical and Quantum Gravity |
| Том | 20 |
| Первая страница | 2325 |
| Последняя страница | 2335 |
| Выпуск | 11 |
