## Classification of cohomogeneity one manifolds in low dimensions

- C Hoelscher
- Classification of cohomogeneity one manifolds in…
- 2007

- 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)