Gromov's Pinching Constant
| dc.creator | Guzhvina, Galina | |
| dc.date | 2008-04-01 | |
| dc.date.accessioned | 2026-07-07T09:29:42Z | |
| dc.date.available | 2026-07-07T09:29:42Z | |
| dc.description | In early 80's M.Gromov showed that there exists a constant $ε$ such that any compact Riemannian manifold $M^n$ with $|K|_{M^n} \cdot diam^2(M^n) \leq ε$ can be finitely covered by a nilmanifold. The present paper illustrates by an explicit example that the pinching constant $ε$ depends on the dimension $n$ of the manifold, in particular, it decreases with the dimension at least as $\frac{12}{n^2}.$ | |
| dc.description | 8 pages | |
| dc.identifier | https://arxiv.org/abs/0804.0201 | |
| dc.identifier | http://arxiv.org/abs/0804.0201 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/157881 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53C20 | |
| dc.title | Gromov's Pinching Constant | |
| dc.type | text |