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Conformal Geometry and Dynamics
Conformal Geometry and Dynamics
ISSN 1088-4173

 

Boundary behavior of quasi-regular maps and the isodiametric profile


Authors: Bruce Hanson, Pekka Koskela and Marc Troyanov
Journal: Conform. Geom. Dyn. 5 (2001), 81-99
MSC (2000): Primary 30C65
Published electronically: September 6, 2001
MathSciNet review: 1872158
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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: http://dx.doi.org/10.1090/S1088-4173-01-00076-5
PII: S 1088-4173(01)00076-5
Received by editor(s): June 4, 2001
Published electronically: September 6, 2001
Additional Notes: The second author was supported in part by the Academy of Finland grants 39788 and 41933
Article copyright: © Copyright 2001 American Mathematical Society