Equivalence of the Apollonian and its inner metric.
Hästö, Peter, Ponnusamy, S., Sahoo, S.K. (2010)
International Journal of Mathematics and Mathematical Sciences
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Displaying similar documents to “The Apollonian metric: uniformity and quasiconvexity.”
Equivalence of the Apollonian and its inner metric.
The Apollonian metric: limits of the comparison and bilipschitz properties.
Hästö, Peter A. (2003)
Abstract and Applied Analysis
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Martio, O., Ryazanov, V., Srebo, U., Yakubov, E. (2005)
Annales Academiae Scientiarum Fennicae. Mathematica
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Normal families, multiplicity and the branch set of quasiregular maps.
Martio, O., Srebro, U., Väisälä, J. (1999)
Annales Academiae Scientiarum Fennicae. Mathematica
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Quasiconformal images of Hölder domains.
Buckley, Stephen M. (2004)
Annales Academiae Scientiarum Fennicae. Mathematica
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Pathwise connectivity in uniform domains with small exceptional sets.
Tossavainen, Timo (2004)
Annales Academiae Scientiarum Fennicae. Mathematica
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Generalized mean porosity and dimension.
Nieminen, Tomi (2006)
Annales Academiae Scientiarum Fennicae. Mathematica
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Smooth quasiregular maps with branching in
Robert Kaufman, Jeremy T. Tyson, Jang-Mei Wu (2005)
Publications Mathématiques de l'IHÉS
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According to a theorem of Martio, Rickman and Väisälä, all nonconstant C-smooth quasiregular maps in , ≥3, are local homeomorphisms. Bonk and Heinonen proved that the order of smoothness is sharp in . We prove that the order of smoothness is sharp in . For each ≥5 we construct a C-smooth quasiregular map in with nonempty branch set.
Definitions of quasiregularity.
Cristea, M. (2000)
Annales Academiae Scientiarum Fennicae. Mathematica
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Infinitesimal geometry of quasilinear mappings.
Gutlyanskij, V.Ya., Martio, O., Ryazanov, V.I., Vuorinen, M. (2000)
Annales Academiae Scientiarum Fennicae. Mathematica
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On some quasimetrics and their applications.
Bachar, Imed, Mâagli, Habib (2009)
Journal of Inequalities and Applications [electronic only]
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Möbius modulus of ring domains in .
Ibragimov, Zair (2003)
Annales Academiae Scientiarum Fennicae. Mathematica
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On conformal dilatation in space.
Bishop, Christopher J., Gutlyanskiĭ, Vladimir Ya., Martio, Olli, Vuorinen, Matti (2003)
International Journal of Mathematics and Mathematical Sciences
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