QUASI-CONFORMAL MAPS BETWEEN COMPACT POLYHEDRA ARE QUASI-SYMMETRIC

Authors
HEINONEN J HINKKANEN A
Citation
J. Heinonen et A. Hinkkanen, QUASI-CONFORMAL MAPS BETWEEN COMPACT POLYHEDRA ARE QUASI-SYMMETRIC, Indiana University mathematics journal, 45(4), 1996, pp. 997-1019
Citations number
7
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Indiana University mathematics journal → ACNP
ISSN journal
00222518
Volume
45
Issue
4
Year of publication
1996
Pages
997 - 1019
Database
ISI
SICI code
0022-2518(1996)45:4<997:QMBCPA>2.0.ZU;2-I
Abstract
It is proved that quasiconformal homeomorphisms, defined via an infini tesimal pointwise condition, between compact polyhedra are quasisymmet ric, that is, they satisfy a global distortion condition, provided the polyhedra in question have no one dimensional parts.