Scheuer, Julian  ORCID: https://orcid.org/0000-0003-2664-1896
2015.
Quantitative oscillation estimates for almost-umbilical closed hypersurfaces in euclidean space.
Bulletin of the Australian Mathematical Society
92
(1)
, pp. 133-144.
10.1017/S0004972715000222
|
Preview |
PDF
- Accepted Post-Print Version
Available under License Creative Commons Attribution Non-commercial No Derivatives. Download (310kB) | Preview |
Official URL: http://dx.doi.org/10.1017/S0004972715000222
Abstract
We prove ϵ -closeness of hypersurfaces to a sphere in Euclidean space under the assumption that the traceless second fundamental form is δ -small compared to the mean curvature. We give the explicit dependence of δ on ϵ within the class of uniformly convex hypersurfaces with bounded volume.
| Item Type: | Article |
|---|---|
| Date Type: | Publication |
| Status: | Published |
| Schools: | Schools > Mathematics |
| Publisher: | Cambridge University Press |
| ISSN: | 0004-9727 |
| Funders: | Deutsche Forschungsgemeinschaft (German Research Foundation, DFG) |
| Date of First Compliant Deposit: | 15 September 2020 |
| Date of Acceptance: | 13 January 2015 |
| Last Modified: | 25 Nov 2024 07:15 |
| URI: | https://orca.cardiff.ac.uk/id/eprint/134860 |
Citation Data
Cited 3 times in Scopus. View in Scopus. Powered By Scopus® Data
Actions (repository staff only)
 |
Edit Item |
Dimensions
Dimensions