Metrics without Morse index bounds

Details Metrics without Morse index bounds Metrics without Morse index bounds

2002-10-18

arxiv.org/abs/math/0210290v1

Mathematics

Geometric Topology

To appear in Duke Mathematical journal

Scientific paper

On any surface we give an example of a metric that contains simple closed geodesics with arbitrary high Morse index. Similarly, on any 3-manifold we give an example of a metric that contains embedded minimal tori with arbitrary high Morse index. Previously no such examples were known. We also discuss whether or not such bounds should hold for a generic metric and why bumpy does not seem to be the right generic notion. Finally, we mention briefly what such bounds might be used for.

Affiliated with

Also associated with

No associations

Rating

Metrics without Morse index bounds 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 Metrics without Morse index bounds, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Metrics without Morse index bounds will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-259072