Singular limit laminations, Morse index, and positive scalar curvature

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

2002-08-13

arxiv.org/abs/math/0208100v2

Mathematics

Differential Geometry

19 pages, 10 pictures, Report 66 at http://www.mis.mpg.de/preprints/2002, Submitted to Topology

Scientific paper

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).

Affiliated with

Also associated with

No associations

Rating

Singular limit laminations, Morse index, and positive scalar curvature does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Singular limit laminations, Morse index, and positive scalar curvature, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Singular limit laminations, Morse index, and positive scalar curvature will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-579991