The Radius Rigidity Theorem for Manifolds of Positive Curvature
| dc.creator | Wilhelm, Frederick | |
| dc.date | 1995-05-26 | |
| dc.date.accessioned | 2026-07-07T09:12:33Z | |
| dc.date.available | 2026-07-07T09:12:33Z | |
| dc.description | Recall that the radius of a compact metric space $(X, dist)$ is given by $rad\ X = \min_{x\in X} \max_{y\in X} dist(x,y)$. In this paper we generalize Berger's $\frac{1}{4}$-pinched rigidity theorem and show that a closed, simply connected, Riemannian manifold with sectional curvature $\geq 1$ and radius $\geq \fracπ{2}$ is either homeomorphic to the sphere or isometric to a compact rank one symmetric space. | |
| dc.description | 29 pages, latex, no figures | |
| dc.identifier | https://arxiv.org/abs/dg-ga/9505007 | |
| dc.identifier | http://arxiv.org/abs/dg-ga/9505007 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/152054 | |
| dc.subject | Differential Geometry | |
| dc.title | The Radius Rigidity Theorem for Manifolds of Positive Curvature | |
| dc.type | text |