Separated nets in Euclidean space and Jacobians of biLipschitz maps

Geometric and Functional Analysis

Volumn 8, Issue 2, 1998, Pages 273-282

  Burago, Dmitri ^a   Kleiner, Bruce ^b,c  

^a PENNSYLVANIA STATE UNIVERSITY   (United States)

^b UNIVERSITY OF PENNSYLVANIA   (United States)

^c UNIVERSITY OF UTAH   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032222147     PISSN: 1016443X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s000390050056     Document Type: Article

References (10)

1. O.V. BOGOPOLSKY, Infinite commensurable hyperbolic groups are bi-Lipschitz equivalent, preprint (1996).
2. B. DACOROGNA, J. MOSER, On a partial differential equation involving the Jacobian determinant, Ann. Inst. H. Poincaré Anal. Non Linéaire, 7:1 (1990),1-26.
3. M. GROMOV, Asymptotic invariants for infinite groups, in "Geometric Group Theory" (G.A. Niblo, M.A. Roller, eds.), London Mathematical Society, 1993, (Paragraph 1, Section A).
4. M. GROMOV, Private communication, February 1997.
5. C. MCMULLEN, Lipschitz maps and nets in Euclidean space, in this issue.
6. J. MOSER, On the volume elements on a manifold, Trans. Amer. Math. Soc. 120 (1965), 286-294.
7. P. PAPASOGLU, Homogeneous trees are bi-Lipschitz equivalent, Geom. Dedicata 54:3 (1995), 301-306.
8. T. RIVIÈRE, D. YE, Une résolution de l'équation à forme volume prescrite, C.R. Acad. Sci. Paris 319 (1994), 25-28.
9. K. WHYTE, Amenability and biLipschitz maps, preprint (1997).
10. D. YE, Prescribing the Jacobian determinant in Sobolev spaces, Ann. Inst. H. Poincaré Anal. Non Linéaire 11:3 1994), 275-296.