Of the non-existence of BLD mappings between manifolds

Show full item record

Permalink

http://urn.fi/URN:NBN:fi-fe2015101314886
Title: Of the non-existence of BLD mappings between manifolds
Author: Luisto, Rami
Contributor: University of Helsinki, Faculty of Science, Department of Mathematics and Statistics
Publisher: Helsingfors universitet
Date: 2011
URI: http://urn.fi/URN:NBN:fi-fe2015101314886
http://hdl.handle.net/10138/157177
Thesis level: master's thesis
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.
Discipline: Mathematics
Matematiikka
Matematik
Rights: This publication is copyrighted. You may download, display and print it for Your own personal use. Commercial use is prohibited.
Publikationen är skyddad av upphovsrätten. Den får läsas och skrivas ut för personligt bruk. Användning i kommersiellt syfte är förbjuden.
Julkaisu on tekijänoikeussäännösten alainen. Teosta voi lukea ja tulostaa henkilökohtaista käyttöä varten. Käyttö kaupallisiin tarkoituksiin on kielletty.


Files in this item

Total number of downloads: Loading...

Files Size Format View
ofthenon.pdf 707.2Kb PDF View/Open

This item appears in the following Collection(s)

Show full item record