Knots in Riemannian manifolds
| dc.creator | Fang, Fuquan | |
| dc.creator | Mendonca, S. | |
| dc.date | 2008-01-15 | |
| dc.date | 2008-08-25 | |
| dc.date.accessioned | 2026-07-07T09:57:50Z | |
| dc.date.available | 2026-07-07T09:57:50Z | |
| dc.description | In this paper we study submanifold with nonpositive extrinsic curvature in a positively curved manifold. Among other things we prove that, if $K\subset (S^n, g)$ is a totally geodesic submanifold in a Riemannian sphere with positive sectional curvature where $n\ge 5$, then $K$ is homeomorphic to $S^{n-2}$ and the fundamental group of the knot complement $π_1(S^n-K)\cong \Bbb Z$. | |
| dc.description | 9 pages | |
| dc.identifier | https://arxiv.org/abs/0801.2216 | |
| dc.identifier | http://arxiv.org/abs/0801.2216 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/167490 | |
| dc.subject | Differential Geometry | |
| dc.subject | Algebraic Geometry | |
| dc.title | Knots in Riemannian manifolds | |
| dc.type | text |