Of the non-existence of BLD mappings between manifolds

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Title: Of the non-existence of BLD mappings between manifolds
Author: Luisto, Rami
Other contributor: Helsingin yliopisto, Matemaattis-luonnontieteellinen tiedekunta, Matematiikan ja tilastotieteen laitos
University of Helsinki, Faculty of Science, Department of Mathematics and Statistics
Helsingfors universitet, Matematisk-naturvetenskapliga fakulteten, Institutionen för matematik och statistik
Publisher: Helsingfors universitet
Date: 2011
Language: eng
URI: http://urn.fi/URN:NBN:fi-fe2015101314886
Thesis level: master's thesis
Discipline: Mathematics
Abstract: In this thesis we study existence ofbounded length distortion(BLD) mappings between manifolds by mimicing the proof of a Varopoulos type result. The restraints mimic the volume-growth invariants of the case of quasiregular maps between Riemannian manifolds. Our basic method is to construct invariants from the 'coarse volumes' of covering spaces, which can be in some situations compared with the combined growth of the original manifold and its fundamental group.
Rights: This publication is copyrighted. You may download, display and print it for Your own personal use. Commercial use is prohibited.

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