Rigidity of extremal quasiregularly elliptic manifolds

  • Rami Luisto

    University of Helsinki, Finland
  • Pekka Pankka

    University of Jyväskylä, Finland

Abstract

We show that for a closed -manifold admitting a quasiregular mapping from Euclidean -space the following are equivalent: (1) order of growth of is , (2) is aspherical, and (3) is virtually and torsion free.

Cite this article

Rami Luisto, Pekka Pankka, Rigidity of extremal quasiregularly elliptic manifolds. Groups Geom. Dyn. 10 (2016), no. 2, pp. 723–732

DOI 10.4171/GGD/362