6533b86ffe1ef96bd12cdfb4

RESEARCH PRODUCT

Boundary behavior of quasi-regular maps and the isodiametric profile

Marc TroyanovPekka KoskelaBruce Hanson

subject

Degree (graph theory)Mathematical analysisMathematics::Analysis of PDEsBoundary (topology)Collapse (topology)GeometryGeometry and TopologyMathematics::Differential GeometryMathematics::Geometric TopologyMathematics::Symplectic GeometryBoundary behavior.Quasi-regular mappingsMathematics

description

We study obstructions for a quasi-regular mapping f : M → N 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 M .

https://infoscience.epfl.ch/record/128621