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 nn-manifold NN admitting a quasiregular mapping from Euclidean nn-space the following are equivalent: (1) order of growth of π1(N)\pi_1(N) is nn, (2) NN is aspherical, and (3) π1(N)\pi_1(N) is virtually Zn\Z^n 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