The Michigan Mathematical Journal

Inversion invariant bilipschitz homogeneity

David Freeman
Source: Michigan Math. J. Volume 61, Issue 2 (2012), 415-430.
First Page: Show Hide
Primary Subjects: 30L05
Secondary Subjects: 51F99
Full-text: Access denied (no subscription detected)
We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber.
If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text
Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.mmj/1339011533
Digital Object Identifier: doi:10.1307/mmj/1339011533
Mathematical Reviews number (MathSciNet): MR2944486
Zentralblatt MATH identifier: 06141584

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

2013 © The University of Michigan

The Michigan Mathematical Journal

The Michigan Mathematical Journal