Geodesic
Rigidity of extremal quasiregularly elliptic manifolds
Rami Luisto1 ; Pekka Pankka2
1University of Helsinki, Finland
2University of Jyväskylä, Finland
Groups, geometry, and dynamics, Tome 10 (2016) no. 2, pp. 723-732

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DOI

We show that for a closed n-manifold N admitting a quasiregular mapping from Euclidean n-space the following are equivalent: (1) order of growth of π1​(N) is n, (2) N is aspherical, and (3) π1​(N) is virtually Zn and torsion free.
DOI : 10.4171/ggd/362
Classification : 30-XX, 57-XX
Mots-clés : Quasiregular mappings, quasiregular ellipticity, Loewner spaces, crystallographic groups

Rami Luisto  1   ; Pekka Pankka  2

1 University of Helsinki, Finland
2 University of Jyväskylä, Finland 
Rami Luisto; Pekka Pankka. Rigidity of extremal quasiregularly elliptic manifolds. Groups, geometry, and dynamics, Tome 10 (2016) no. 2, pp. 723-732. doi: 10.4171/ggd/362
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     title = {Rigidity of extremal quasiregularly elliptic manifolds},
     journal = {Groups, geometry, and dynamics},
     pages = {723--732},
     year = {2016},
     volume = {10},
     number = {2},
     doi = {10.4171/ggd/362},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/362/}
}
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