Boundary behavior of quasi-regular maps and the isodiametric profile

Hanson, Bruce; Koskela, Pekka; Troyanov, Marc

doi:10.1090/S1088-4173-01-00076-5

Boundary behavior of quasi-regular maps and the isodiametric profile
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by Bruce Hanson, Pekka Koskela and Marc Troyanov PDF

Conform. Geom. Dyn. 5 (2001), 81-99 Request permission

Abstract:

We study obstructions for a quasi-regular mapping $f:M\rightarrow N$ of finite degree between Riemannian manifolds to blow up on or collapse on a non-trivial part of the boundary of $M$.

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