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Boundary behavior of quasi-regular maps and the isodiametric profile
Author(s):
Bruce
Hanson;
Pekka
Koskela;
Marc
Troyanov
Journal:
Conform. Geom. Dyn.
5
(2001),
81-99.
MSC (2000):
Primary 30C65
Posted:
September 6, 2001
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Abstract:
We study obstructions for a quasi-regular mapping of finite degree between Riemannian manifolds to blow up on or collapse on a non-trivial part of the boundary of .
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Additional Information:
Bruce
Hanson
Affiliation:
Department of Mathematics, St. Olaf College, Northfield, Minnesota 55057
Email:
hansonb@stolaf.edu
Pekka
Koskela
Affiliation:
Department of Mathematics and Statistics, University of Jyväskylä, P.O. Box 35, FIN-40351 Jyväskylä, Finland
Email:
pkoskela@math.jyu.fi
Marc
Troyanov
Affiliation:
Department of Mathematics, Ecole Polytechnique Federale de Lausanne (EPFL), 1015 Lausanne, Switzerland
Email:
marc.troyanov@epfl.ch
DOI:
10.1090/S1088-4173-01-00076-5
PII:
S 1088-4173(01)00076-5
Received by editor(s):
June 4, 2001
Posted:
September 6, 2001
Additional Notes:
The second author was supported in part by the Academy of Finland grants 39788 and 41933
Copyright of article:
Copyright
2001,
American Mathematical Society
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