Inversion invariant bilipschitz homogeneity
David Freeman
Source: Michigan Math. J. Volume 61, Issue 2
(2012), 415-430.
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Permanent link to this document: http://projecteuclid.org/euclid.mmj/1339011533
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References
C. J. Bishop, Bi-Lipschitz homogeneous curves in ${\Bbb R}^2$ are quasicircles, Trans. Amer. Math. Soc. 353 (2001), 2655–2663.
Mathematical Reviews (MathSciNet): MR1828465
Zentralblatt MATH: 0979.30012
Digital Object Identifier: doi:10.1090/S0002-9947-01-02755-6
M. Bonk and B. Kleiner, Quasisymmetric parametrizations of two dimensional metric spheres, Invent. Math. 150 (2002), 127–183.
Mathematical Reviews (MathSciNet): MR1930885
Zentralblatt MATH: 1037.53023
Digital Object Identifier: doi:10.1007/s00222-002-0233-z
–––, Rigidity for quasi-Möbius group actions, J. Differential Geom. 61 (2002), 81–106.
Mathematical Reviews (MathSciNet): MR1949785
Project Euclid: euclid.jdg/1090351321
S. M. Buckley, D. A. Herron, and X. Xie, Metric space inversions, quasihyperbolic distance, and uniform spaces, Indiana Univ. Math. J. 57 (2008), 837–890.
Mathematical Reviews (MathSciNet): MR2414336
Zentralblatt MATH: 1160.30006
D. M. Freeman, Bilipschitz homogeneous Jordan curves, Möbius maps, and dimension, Illinois J. Math. 54 (2010), 753–770.
Mathematical Reviews (MathSciNet): MR2846481
Project Euclid: euclid.ijm/1318598680
–––, Unbounded bilipschitz homogeneous Jordan curves, Ann. Acad. Sci. Fenn. Math. 36 (2010), 81–99.
Mathematical Reviews (MathSciNet): MR2797685
Digital Object Identifier: doi:10.5186/aasfm.2011.3605
Zentralblatt MATH: 1236.30018
M. Ghamsari and D. A. Herron, Higher dimensional Ahlfors regular sets and chordarc curves in ${\bold R}^n,$ Rocky Mountain J. Math. 28 (1998), 191–222.
Mathematical Reviews (MathSciNet): MR1639853
Digital Object Identifier: doi:10.1216/rmjm/1181071829
Project Euclid: euclid.rmjm/1181071829
Zentralblatt MATH: 0932.28004
–––, Bi-Lipschitz homogeneous Jordan curves, Trans. Amer. Math. Soc. 351 (1999), 3197–3216.
Mathematical Reviews (MathSciNet): MR1608313
Digital Object Identifier: doi:10.1090/S0002-9947-99-02324-7
D. A. Herron and V. Mayer, Bi-Lipschitz group actions and homogeneous Jordan curves, Illinois J. Math. 43 (1999), 770–792.
Mathematical Reviews (MathSciNet): MR1712522
Project Euclid: euclid.ijm/1256060691
E. Le Donne, Doubling property for bi-lipschitz homogeneous geodesic surfaces, J. Geom. Anal. 21 (2011), 783–806.
Mathematical Reviews (MathSciNet): MR2836583
Zentralblatt MATH: 1229.26007
Digital Object Identifier: doi:10.1007/s12220-010-9167-7
V. Mayer, Trajectoires de groupes à 1-paramètre de quasi-isométries, Rev. Mat. Iberoamericana 11 (1995), 143–164.
Mathematical Reviews (MathSciNet): MR1321776
Digital Object Identifier: doi:10.4171/RMI/169
–––, Phénomènes de rigidité en dynamique holomorphe et quasirégulière, ensembles Lip-homogènes, Habilitation à Diriger des Recherches en Sciences Matématiques, 2000.
S. Rohde, Quasicircles modulo bilipschitz maps, Rev. Mat. Iberoamericana 17 (2001), 643–659.
Mathematical Reviews (MathSciNet): MR1900898
Zentralblatt MATH: 1003.30013
Digital Object Identifier: doi:10.4171/RMI/307
K. Wildrick, Quasisymmetric parametrizations of two-dimensional metric planes, Proc. London Math. Soc. (3) 97 (2008), 783–812.
Mathematical Reviews (MathSciNet): MR2448247
Zentralblatt MATH: 1160.30010
Digital Object Identifier: doi:10.1112/plms/pdn023
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