FROM LOCAL TO GLOBAL IN QUASI-CONFORMAL STRUCTURES

Authors
HEINONEN J KOSKELA P
Citation
J. Heinonen et P. Koskela, FROM LOCAL TO GLOBAL IN QUASI-CONFORMAL STRUCTURES, Proceedings of the National Academy of Sciences of the United Statesof America, 93(2), 1996, pp. 554-556
Citations number
14
Categorie Soggetti
Multidisciplinary Sciences
Journal title
Proceedings of the National Academy of Sciences of the United Statesof America → ACNP
ISSN journal
00278424
Volume
93
Issue
2
Year of publication
1996
Pages
554 - 556
Database
ISI
SICI code
0027-8424(1996)93:2<554:FLTGIQ>2.0.ZU;2-C
Abstract
We exhibit a large class of metric spaces whose infinitesimal quasicon formal structure is strong enough to capture the global quasiconformal structure. A sufficient condition for this to happen is described in terms of a Poincare-type inequality.