Colding, T; De Lellis, C (2005). Singular limit laminations, Morse index, and positive scalar curvature. Topology, 44(1):25-45.
For any 3-manifold M3 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 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.
For any 3-manifold M3 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 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.
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > Geometry and Topology |
| Uncontrolled Keywords: | Minimal surfaces, Morse index, Positive scalar curvature, Laminations |
| Language: | English |
| Date: | 2005 |
| Deposited On: | 19 Feb 2010 15:18 |
| Last Modified: | 26 Jun 2022 22:27 |
| Publisher: | Elsevier |
| ISSN: | 0040-9383 |
| OA Status: | Hybrid |
| Publisher DOI: | https://doi.org/10.1016/j.top.2004.01.007 |
Colding, T