Manifolds without 1/k-geodesic
| dc.creator | Ho, Wing Kai | |
| dc.date | 2006-10-17 | |
| dc.date.accessioned | 2026-07-07T07:29:08Z | |
| dc.date.available | 2026-07-07T07:29:08Z | |
| dc.description | It is a question by C.Sormani that whether there exists a $k \in \mathbb N$, such that any compact, smooth and simply connected manifold has a 1/k-geodesic. We prove in this paper that this is not true by showing for each $k$, there exists a metric on the sphere such that it has no 1/k-geodesic. | |
| dc.description | 11 pages, 8 figures | |
| dc.identifier | https://arxiv.org/abs/math/0610503 | |
| dc.identifier | http://arxiv.org/abs/math/0610503 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/117987 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53C20 | |
| dc.title | Manifolds without 1/k-geodesic | |
| dc.type | text |