Rectifying separated nets

Geometric and Functional Analysis

Volumn 12, Issue 1, 2002, Pages 80-92

  Burago, D ^a   Kleiner, B ^b,c  

^a PENNSYLVANIA STATE UNIVERSITY   (United States)

^b UNIVERSITY OF MICHIGAN   (United States)

^c NEW YORK UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0036014147     PISSN: 1016443X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00039-002-8238-8     Document Type: Article

References (13)

1. [B] O.V. Bogopolsky, preprint, 1996.
2. [BuK] D. Burago, B. Kleiner, Separated nets in Euclidean space and Jacobians of bi-Lipschitz maps, Geom. Funct. Anal. 8 (1998), 273-282.
3. [DM] B. Dacorogna, J. Moser, On a partial differential equation involving the Jacobian determinant, Ann. Inst. H. Poincaré Anal. Non Linéaire 7 (1990), 1-26.
4. [F] H. Furstenberg, Private communication, 1999.
5. [Gl M. Gromov, Asymptotic invariants of infinite groups, in "Geometric Group Theory, Vol. 2 (Sussex, 1991)", Cambridge Univ. Press, Cambridge (1993), 1-295.
6. [K] A.B. Katok, The special representation theorem for multi-dimensional group actions, in "Dynamical Systems, Vol. I - Warsaw, Soc. Math. France, Paris 1977", Astérisque 49 (1977), 117-140.
7. [M] C.T. McMullen, Lipschitz maps and nets in Euclidean space, Geom. Funct. Anal. 8 (1998), 304-314.
8. [P] P. Papasoglu, Homogeneous trees are bi-Lipschitz equivalent, Geom. Dedicata 54 (1995), 301-306.
9. [R] H.M. Reimann, Harmonische Funktionen und Jacobi-Determinanten von Diffeomorphismen, Comment. Math. Hdv. 47 (1972), 397-408.
10. [RiY] T. Rivière, D. Ye, Resolutions of the prescribed volume form equation, NoDEA Nonlinear Differential Equations Appl. 3 (1996), 323-369.
11. [S] O. Schramm, Private communication, 1997.
12. [W] K. Whyte, Amenability, bi-Lipschitz equivalence and the von Neumann conjecture, Duke Math. J. 99 (1999), 93-112.
13. [Y] D. Ye, Prescribing the Jacobian determinant in Sobolev spaces, Ann. Inst. H. Poincaré Anal. Non Linéaire 11 (1994), 275-296.