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Quasiconformal Frames.

Authors :
Heinonen, Juha
Pankka, Pekka
Rajala, Kai
Source :
Archive for Rational Mechanics & Analysis; Jun2010, Vol. 196 Issue 3, p839-866, 28p
Publication Year :
2010

Abstract

We consider n-tuples of differential 1-forms in the Euclidean n-space that satisfy a quasiconformality condition and an asymptotic closedness condition. We show that renormalized sequences of such tuples have subsequences converging to differentials of quasiregular maps. We then use these maps to show that the tuples carry topological information. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00039527
Volume :
196
Issue :
3
Database :
Complementary Index
Journal :
Archive for Rational Mechanics & Analysis
Publication Type :
Academic Journal
Accession number :
49746540
Full Text :
https://doi.org/10.1007/s00205-009-0257-2