dc.contributor.author |
Brasil, A |
|
dc.contributor.author |
Colares, AG |
|
dc.contributor.author |
Palmas, O |
|
dc.date.accessioned |
2011-01-21T09:04:20Z |
|
dc.date.available |
2011-01-21T09:04:20Z |
|
dc.date.issued |
2010 |
|
dc.identifier.issn |
0026-9255 |
|
dc.identifier.uri |
http://hdlhandlenet/123456789/153 |
|
dc.description.abstract |
To a given immersion i : M-n -> Sn+1 with constant scalar curvature R, we associate the supremum of the squared norm of the second fundamental form sup vertical bar A vertical bar(2). We prove the existence of a constant C (n) (R) depending on R and n so that R a parts per thousand yen 1 and sup vertical bar A vertical bar(2) = C (n) (R) imply that the hypersurface is a H(r)-torus S-1(root 1-r(2)) x Sn-1(r). For R > (n - 2)/n we use rotation hypersurfaces to show that for each value C > C (n) (R) there is a complete hypersurface in Sn+1 with constant scalar curvature R and sup vertical bar A vertical bar(2) = C, answering questions raised by Q. M. Cheng. |
en_US |
dc.language.iso |
en |
en_US |
dc.title |
Complete hypersurfaces with constant scalar curvature in spheres |
en_US |
dc.type |
Article |
en_US |
dc.identifier.idprometeo |
38 |
|
dc.identifier.doi |
10.1007/s00605-009-0128-9 |
|
dc.source.novolpages |
161(4):369-380 |
|
dc.subject.wos |
Mathematics |
|
dc.description.index |
WoS: SCI, SSCI o AHCI |
|
dc.subject.keywords |
Scalar curvature |
|
dc.subject.keywords |
Rotation hypersurfaces |
|
dc.subject.keywords |
Product of spheres |
|
dc.relation.journal |
Monatshefte Fur Mathematik |
|