Cohomogeneity One Manifolds and Selfmaps of Nontrivial Degree

  • Thomas P Uttmann
  • Published 2007
We construct natural selfmaps of compact cohomgeneity one mani-folds with finite Weyl group and compute their degrees and Lefschetz numbers. On manifolds with simple cohomology rings this yields in certain cases relations between the order of the Weyl group and the Euler characteristic of a principal orbit. We apply our construction to the compact Lie group… (More)