Pekka Pankka (University of Helsinki)
A big Picard type theorems for quasiregular mappings into Riemannian manifolds
Abstract. In this talk we consider a big Picard type theorem for quasiregular mappings from a punctured ball into a Riemannian manifold $N$. We assume that $N$ is non-compact and show that there exists a constant depending only on the dimension of the manifold and the distortion of the mapping such that whenever the number of the ends of $N$ exceeds this bound, the mapping has a removable singularity at the point of punctuation. This is a joint work with Ilkka Holopainen.


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