Sphere Theorem for Manifolds with Positive Curvature
| dc.creator | Mahaman, Bazanfare | |
| dc.date | 2004-07-08 | |
| dc.date | 2004-07-15 | |
| dc.date.accessioned | 2026-07-07T05:10:04Z | |
| dc.date.available | 2026-07-07T05:10:04Z | |
| dc.description | In this paper, we prove that, for any integer $n\ge 2,$ there exists an $ε_{n} \ge 0$ so that if $M$ is an n-dimensional complete manifold with sectional curvature $ K_{M}\ge 1$ and if $M$ has conjugate radius bigger than $\fracπ{2} $ and contains a geodesic loop of length $2(π-ε_{n}),$ then $M$ is diffeomorphic to the Euclidian unit sphere $S^{n}.$ | |
| dc.identifier | https://arxiv.org/abs/math/0407121 | |
| dc.identifier | http://arxiv.org/abs/math/0407121 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/71812 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53C20; 53C21 | |
| dc.title | Sphere Theorem for Manifolds with Positive Curvature | |
| dc.type | text |