Pekka Pankka

activity

20072026

most citedUniform cohomological expansion of uniformly quasiregular mappings

8 citations · 38 across the 33 of their papers we have counts for

collaborators

Showing 2013Show all

5 papers · 1 filter

math.MG2013★ 6 cited

Closed BLD-elliptic manifolds have virtually Abelian fundamental groups

Enrico Le Donne, Pekka Pankka

We show that a closed, connected, oriented, Riemannian $n$ -manifold, admitting a branched cover of bounded length distortion from $R^{n}$ , has a virtually Abelian fundamental…

math.CV2013

Quasiregular ellipticity of open and generalized manifolds

Pekka Pankka, Kai Rajala, Jang-Mei Wu

We study the existence of geometrically controlled branched covering maps from $R^{3}$ to open $3$ -manifolds or to decomposition spaces $S^{3} / G$ , and from $\mathbb S^3…

math.MG2013

Rigidity of extremal quasiregularly elliptic manifolds

Rami Luisto, Pekka Pankka

We show that for a closed $n$ -manifold $N$ admitting a quasiregular mapping from the Euclidean $n$ -space the following are equivalent: (1) order of growth of $π_{1} (N)$ is $n$ , (2) $…

math.DS2013★ 2 cited

Accumulation of periodic points for local uniformly quasiregular mappings

Yûsuke Okuyama, Pekka Pankka

We consider accumulation of periodic points in local uniformly quasiregular dynamics. Given a local uniformly quasiregular mapping $f$ with a countable and closed set of isolated e…

math.CV2013★ 2 cited

Sharpness of Rickman's Picard theorem in all dimensions

David Drasin, Pekka Pankka

We show that given $n \geq 3$ , $q \geq 1$ , and a finite set ${y_{1}, \dots, y_{q}}$ in $R^{n}$ there exists a quasiregular mapping $R^{n} \to R^{n}$ omitting exactly po…