# Singular limit laminations, Morse index, and positive scalar curvature

Colding, T; De Lellis, C (2005). Singular limit laminations, Morse index, and positive scalar curvature. Topology, 44(1):25-45.

## Abstract

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.

## Abstract

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.

## Statistics

### Citations

5 citations in Web of Science®
6 citations in Scopus®