Fixed points of discrete nilpotent group actions on S^2

Details Fixed points of discrete nilpotent group actions on S^2 Fixed points of discrete nilpotent group actions on S^2

2001-09-03

arxiv.org/abs/math/0109015v1

Mathematics

Geometric Topology

15 pages, 2 figures

Scientific paper

We prove that for each integer k of at least 2, there is an open neigborhood \nu_k of the identity map of the 2-sphere S^2, in C^1-topology such that: if G is a nilpotent subgroup of Diff^1(S^2) with length k of nilpotency, generated by elements in \nu_k, then the natural action on S^2 has non-empty fixed point set. Moreover, the G-action has at least two fixed points if the action has a finite non-trivial orbit.

Affiliated with

Also associated with

No associations

Rating

Fixed points of discrete nilpotent group actions on S^2 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 Fixed points of discrete nilpotent group actions on S^2, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Fixed points of discrete nilpotent group actions on S^2 will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-354872