Nonpositively curved, piecewise euclidean structures on hyperbolic manifolds

Michigan Mathematical Journal

Volumn 44, Issue 1, 1997, Pages 201-208

  Charney, R ^a   Davis, M ^b   Moussong, G ^a  

^a OHIO STATE UNIVERSITY   (United States)

^b EÖTVÖS LORÁND UNIVERSITY   (Hungary)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0040054365     PISSN: 00262285     EISSN: None     Source Type: Journal    
DOI: 10.1307/mmj/1029005630     Document Type: Review

References (7)

1. M. Bridson and A. Haefliger, Metric spaces of nonpositive curvature (in preparation).
2. R. Charney and M. Davis, The polar dual of a convex polyhedral set in hyperbolic space, Michigan Math. J. 42 (1995), 479-510.
3. D. B. A. Epstein and R. C. Penner, Euclidean decompositions of noncompact hyperbolic manifolds, J. Differential Geom. 27 (1988), 67-80.
4. M. Gromov, Hyperbolic groups, Essays in group theory (S. Gersten, ed.), Math. Sci. Res. Inst. Publ., 8. pp. 75-264, Springer, New York, 1987.
5. M. Näätänen and R. C. Penner, The convex hull construction for compact surfaces and the Dirichlet polygon, Bull. London Math. Soc. 23 (1991), 568-574.
6. B. O'Neill, Semi-Riemannian geometry, Academic Press, New York, 1983.
7. I. Rivin, Euclidean structures on simplicial surfaces and hyperbolic volume, Ann. of Math. (2) 139 (1994), 553-580.