Quantitative oscillation estimates for almost-umbilical closed hypersurfaces in euklidean spaces
We prove ϵ{epsilon}-closeness of hypersurfaces to a sphere in Euclidean space under the assumption that the traceless second fundamental form is δ{delta} small compared to the mean curvature. We give the explicit dependence of δ{delta} on ϵ{epsilon} within the class of uniformly convex hypersurfaces...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Dokumenttyp: | Article (Journal) |
| Sprache: | Englisch |
| Veröffentlicht: |
17 April 2015
|
| In: |
Bulletin of the Australian Mathematical Society
Year: 2015, Jahrgang: 92, Heft: 1, Pages: 133-144 |
| ISSN: | 1755-1633 |
| DOI: | 10.1017/S0004972715000222 |
| Online-Zugang: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1017/S0004972715000222 Verlag, lizenzpflichtig, Volltext: https://www.cambridge.org/core/journals/bulletin-of-the-australian-mathematical-society/article/quantitative-oscillation-estimates-for-almost-umbilical-closed-hypersurfaces-in-euclidean-space/A821E205EE45C9280CEEEF60306FF2F9 
|
| Verfasserangaben: | Julian Scheuer |
MARC
| LEADER | 00000caa a2200000 c 4500 | ||
|---|---|---|---|
| 001 | 1701046393 | ||
| 003 | DE-627 | ||
| 005 | 20220818124648.0 | ||
| 007 | cr uuu---uuuuu | ||
| 008 | 200618s2015 xx |||||o 00| ||eng c | ||
| 024 | 7 | |a 10.1017/S0004972715000222 |2 doi | |
| 035 | |a (DE-627)1701046393 | ||
| 035 | |a (DE-599)KXP1701046393 | ||
| 035 | |a (OCoLC)1341340637 | ||
| 040 | |a DE-627 |b ger |c DE-627 |e rda | ||
| 041 | |a eng | ||
| 084 | |a 27 |2 sdnb | ||
| 100 | 1 | |a Scheuer, Julian |e VerfasserIn |0 (DE-588)1032005033 |0 (DE-627)737808357 |0 (DE-576)319283194 |4 aut | |
| 245 | 1 | 0 | |a Quantitative oscillation estimates for almost-umbilical closed hypersurfaces in euklidean spaces |c Julian Scheuer |
| 264 | 1 | |c 17 April 2015 | |
| 300 | |a 12 | ||
| 336 | |a Text |b txt |2 rdacontent | ||
| 337 | |a Computermedien |b c |2 rdamedia | ||
| 338 | |a Online-Ressource |b cr |2 rdacarrier | ||
| 500 | |a Gesehen am 18.06.2020 | ||
| 520 | |a We prove ϵ{epsilon}-closeness of hypersurfaces to a sphere in Euclidean space under the assumption that the traceless second fundamental form is δ{delta} small compared to the mean curvature. We give the explicit dependence of δ{delta} on ϵ{epsilon} within the class of uniformly convex hypersurfaces with bounded volume. | ||
| 650 | 4 | |a 53C24 | |
| 650 | 4 | |a 58C40 | |
| 650 | 4 | |a almost-umbilical | |
| 650 | 4 | |a convex hypersurface | |
| 650 | 4 | |a pinching | |
| 650 | 4 | |a primary 53C20 | |
| 650 | 4 | |a secondary 53C21 | |
| 773 | 0 | 8 | |i Enthalten in |t Bulletin of the Australian Mathematical Society |d Cambridge : Cambridge University Press, 1969 |g 92(2015), 1, Seite 133-144 |h Online-Ressource |w (DE-627)523860935 |w (DE-600)2268688-5 |w (DE-576)280458479 |x 1755-1633 |7 nnas |a Quantitative oscillation estimates for almost-umbilical closed hypersurfaces in euklidean spaces |
| 773 | 1 | 8 | |g volume:92 |g year:2015 |g number:1 |g pages:133-144 |g extent:12 |a Quantitative oscillation estimates for almost-umbilical closed hypersurfaces in euklidean spaces |
| 856 | 4 | 0 | |u https://doi.org/10.1017/S0004972715000222 |x Verlag |x Resolving-System |z lizenzpflichtig |3 Volltext |
| 856 | 4 | 0 | |u https://www.cambridge.org/core/journals/bulletin-of-the-australian-mathematical-society/article/quantitative-oscillation-estimates-for-almost-umbilical-closed-hypersurfaces-in-euclidean-space/A821E205EE45C9280CEEEF60306FF2F9 |x Verlag |z lizenzpflichtig |3 Volltext |
| 951 | |a AR | ||
| 992 | |a 20200618 | ||
| 993 | |a Article | ||
| 994 | |a 2015 | ||
| 998 | |g 1032005033 |a Scheuer, Julian |m 1032005033:Scheuer, Julian |p 1 |x j |y j | ||
| 999 | |a KXP-PPN1701046393 |e 3688326644 | ||
| BIB | |a Y | ||
| SER | |a journal | ||
| JSO | |a {"relHost":[{"physDesc":[{"extent":"Online-Ressource"}],"id":{"eki":["523860935"],"zdb":["2268688-5"],"issn":["1755-1633"]},"origin":[{"publisherPlace":"Cambridge ; [Canberra]","publisher":"Cambridge University Press ; The Australian Mathematical Publ. Assoc.","dateIssuedKey":"1969","dateIssuedDisp":"1969-"}],"part":{"volume":"92","text":"92(2015), 1, Seite 133-144","extent":"12","year":"2015","issue":"1","pages":"133-144"},"pubHistory":["1.1969 -"],"corporate":[{"role":"isb","display":"Australian Mathematical Society","roleDisplay":"Herausgebendes Organ"}],"language":["eng"],"recId":"523860935","note":["Gesehen am 14.08.2025","Fortsetzung der Druck-Ausgabe","Gesehen am 16.07.21"],"type":{"bibl":"periodical","media":"Online-Ressource"},"disp":"Quantitative oscillation estimates for almost-umbilical closed hypersurfaces in euklidean spacesBulletin of the Australian Mathematical Society","title":[{"title_sort":"Bulletin of the Australian Mathematical Society","title":"Bulletin of the Australian Mathematical Society"}]}],"physDesc":[{"extent":"12 S."}],"id":{"doi":["10.1017/S0004972715000222"],"eki":["1701046393"]},"origin":[{"dateIssuedDisp":"17 April 2015","dateIssuedKey":"2015"}],"name":{"displayForm":["Julian Scheuer"]},"recId":"1701046393","language":["eng"],"type":{"bibl":"article-journal","media":"Online-Ressource"},"note":["Gesehen am 18.06.2020"],"title":[{"title_sort":"Quantitative oscillation estimates for almost-umbilical closed hypersurfaces in euklidean spaces","title":"Quantitative oscillation estimates for almost-umbilical closed hypersurfaces in euklidean spaces"}],"person":[{"family":"Scheuer","given":"Julian","display":"Scheuer, Julian","roleDisplay":"VerfasserIn","role":"aut"}]} | ||
| SRT | |a SCHEUERJULQUANTITATI1720 | ||