Skip to main content
eScholarship
Open Access Publications from the University of California

Fixed points of analytic actions of supersoluble Lie groups on compact surfaces.

  • Author(s): Hirsch, Morris W
  • Weinstein, Alan D
  • et al.
Abstract

It is shown that every real analytic action of a connected supersoluble Lie group on a compact surface with nonzero Euler characteristic has a fixed point. This implies that E. Lima's fixed point free action of the affine group of the line on the 2-sphere S cannot be approximated by analytic actions. An example is given of an analytic, fixed point free action on S of a solvable group that is notsupersoluble.

Many UC-authored scholarly publications are freely available on this site because of the UC Academic Senate's Open Access Policy. Let us know how this access is important for you.

Main Content
Current View