A direct proof of one Gromov's theorem
| dc.creator | Burago, Yu. D. | |
| dc.creator | Malev, S. G. | |
| dc.creator | Novikov, D. | |
| dc.date | 2008-02-01 | |
| dc.date.accessioned | 2026-07-07T09:18:14Z | |
| dc.date.available | 2026-07-07T09:18:14Z | |
| dc.description | We give a new proof of the Gromov theorem: For any $C>0$ and integer $n>1$ there exists a function $Δ_{C,n}$ such that if the Gromov--Hausdorff distance between complete Riemannian $n$-manifolds $V$ and $W$ is not greater than $δ$, absolute values of their sectional curvatures $|K_σ|\leq C$, and their injectivity radii $\geq 1/C$, then the Lipschitz distance between $V$ and $W$ is less than $Δ_{C,n}(δ)$ and $Δ_{C,n}\to 0$ as $δ\to 0$. | |
| dc.identifier | https://arxiv.org/abs/0802.0098 | |
| dc.identifier | http://arxiv.org/abs/0802.0098 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/153954 | |
| dc.subject | Differential Geometry | |
| dc.subject | Metric Geometry | |
| dc.subject | 53C21; | |
| dc.title | A direct proof of one Gromov's theorem | |
| dc.type | text |