Singular limit laminations, Morse index, and positive scalar curvature
| dc.creator | Colding, Tobias H. | |
| dc.creator | De Lellis, Camillo | |
| dc.date | 2002-08-13 | |
| dc.date | 2002-08-14 | |
| dc.date.accessioned | 2026-07-07T04:50:13Z | |
| dc.date.available | 2026-07-07T04:50:13Z | |
| dc.description | For any 3-manifold M and any nonnegative integer g, we give here examples of metrics on M each of which has a sequence of embedded minimal surfaces of genus g and without Morse index bounds. On any spherical space form S^3/Gamma we construct such a metric with positive scalar curvature. More generally we construct such a metric with Scal>0 (and such surfaces) on any 3-manifold which carries a metric with Scal>0. In all but one of these examples the Hausdorff limit will be a singular minimal lamination. The singularities being in each case exactly two points lying on a closed leaf (the leaf is a strictly stable sphere). | |
| dc.description | 19 pages, 10 pictures, Report 66 at http://www.mis.mpg.de/preprints/2002, Submitted to Topology | |
| dc.identifier | https://arxiv.org/abs/math/0208100 | |
| dc.identifier | http://arxiv.org/abs/math/0208100 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/64710 | |
| dc.subject | Differential Geometry | |
| dc.subject | Geometric Topology | |
| dc.subject | 53A10; 53C21; 57N10 | |
| dc.title | Singular limit laminations, Morse index, and positive scalar curvature | |
| dc.type | text |