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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 | References | Similar articles | Additional information

Abstract: We study obstructions for a quasi-regular mapping $f:M\rightarrow N$of finite degree between Riemannian manifolds to blow up on or collapse on a non-trivial part of the boundary of $M$.


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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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