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Volumn 143, Issue 1, 1996, Pages 51-70

A characterization of ideal polyhedra in hyperbolic 3-space

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EID: 0030554499     PISSN: 0003486X     EISSN: None     Source Type: Journal    
DOI: 10.2307/2118652     Document Type: Article
Times cited : (128)

References (26)
  • 1
    • 0011687812 scopus 로고
    • (Russian title: Vypuklye Mnogogranniki), GITTL, Moscow, English translation: Springer-Verlag, to appear
    • A. D. ALEKSANDROV, Convex Polyhedra (Russian title: Vypuklye Mnogogranniki), GITTL, Moscow, 1951. English translation: Springer-Verlag, to appear.
    • (1951) Convex Polyhedra
    • Aleksandrov, A.D.1
  • 3
    • 84861338328 scopus 로고
    • On convex polyhedra of finite volume in Lobachevskii space
    • E. M. ANDREEV, On convex polyhedra of finite volume in Lobachevskii space, Math. USSR, Sbornik, 12(1970), 255-259.
    • (1970) Math. USSR, Sbornik , vol.12 , pp. 255-259
    • Andreev, E.M.1
  • 4
    • 0039639618 scopus 로고    scopus 로고
    • The polar dual of a convex polyhedral set in hyperbolic space
    • to appear
    • R. CHARNEY and M. DAVIS, The polar dual of a convex polyhedral set in hyperbolic space, Mich. Math. Journal, to appear.
    • Mich. Math. Journal
    • Charney, R.1    Davis, M.2
  • 5
    • 0003232148 scopus 로고
    • Comparison theorems in Riemannian geometry
    • North-Holland Publishing Co.
    • J. CHEEGER and D. G. EBIN, Comparison theorems in Riemannian geometry, 9, North-Holland Mathematical Library. North-Holland Publishing Co., 1975.
    • (1975) North-Holland Mathematical Library , vol.9
    • Cheeger, J.1    Ebin, D.G.2
  • 6
    • 0040826119 scopus 로고
    • The Hamiltonian cycle problem for Delaunay triangulations
    • Proc. of the Fourth Canadian Conference on Computational Geometry, August St. John's, Newfoundland; to appear
    • M. B. DILLENCOURT, The Hamiltonian cycle problem for Delaunay triangulations, Proc. of the Fourth Canadian Conference on Computational Geometry, August 1992, St. John's, Newfoundland; Discrete Appl. Math., to appear.
    • (1992) Discrete Appl. Math.
    • Dillencourt, M.B.1
  • 7
    • 0026962940 scopus 로고
    • A linear-time algorithm for testing the inscribability of trivalent polyhedra
    • Proc. of the Eighth Annual ACM Symposium on Computational Geometry, June Berlin, Germany, to appear
    • M. B. DILLENCOURT and W. D. SMITH, A linear-time algorithm for testing the inscribability of trivalent polyhedra, Proc. of the Eighth Annual ACM Symposium on Computational Geometry, June 1992, Berlin, Germany, Inter. J. of Comput. Geom. and its Appl., to appear.
    • (1992) Inter. J. of Comput. Geom. and Its Appl.
    • Dillencourt, M.B.1    Smith, W.D.2
  • 8
    • 0039047581 scopus 로고    scopus 로고
    • Graph-theoretical conditions for inscribability and delaunay realizability
    • to appear
    • _, Graph-theoretical conditions for inscribability and Delaunay realizability, Discrete Math., to appear.
    • Discrete Math.
  • 11
    • 84967712803 scopus 로고
    • A characterization of convex hyperbolic polyhedra and of convex polyhedra inscribed in the sphere
    • C. D. HODGSON, I. RIVIN, and W. D. SMITH, A characterization of convex hyperbolic polyhedra and of convex polyhedra inscribed in the sphere, Bull. Amer. Math. Soc. 27(1992), 246-251.
    • (1992) Bull. Amer. Math. Soc. , vol.27 , pp. 246-251
    • Hodgson, C.D.1    Rivin, I.2    Smith, W.D.3
  • 14
    • 0002435362 scopus 로고
    • On the geometry of ideal polyhedra in hyperbolic 3-space
    • I. RIVIN, On the geometry of ideal polyhedra in hyperbolic 3-Space, Topology 32(1993), 87-92.
    • (1993) Topology , vol.32 , pp. 87-92
    • Rivin, I.1
  • 15
    • 0040231462 scopus 로고
    • Intrinsic geometry of convex ideal polyhedra in hyperbolic 3-space
    • Proc. of the 21st Nordic Congress of Mathematicians, in the series Lecture Notes in Pure and Applied Mathematics, Marcel Dekker, New York
    • _, Intrinsic Geometry of convex ideal polyhedra in hyperbolic 3-space, In: Analysis, Algebra and Computers in Mathematics, Proc. of the 21st Nordic Congress of Mathematicians, in the series Lecture Notes in Pure and Applied Mathematics, Marcel Dekker, New York, 1994.
    • (1994) Analysis, Algebra and Computers in Mathematics
  • 16
    • 0001684677 scopus 로고
    • Euclidean structures on simplicial surfaces and hyperbolic volume
    • _, Euclidean structures on simplicial surfaces and hyperbolic volume, Ann. of Math. 139(1994), 553-580.
    • (1994) Ann. of Math. , vol.139 , pp. 553-580
  • 19
    • 85095799989 scopus 로고    scopus 로고
    • in preparation
    • 3, in preparation.
    • 3
  • 20
    • 0002375128 scopus 로고
    • A characterization of convex polyhedra in hyperbolic 3-space
    • Corrigendum: 117(1994), 359
    • I. RIVIN and C. D. HODGSON, A characterization of convex polyhedra in hyperbolic 3-space, Invent. Math. 111(1993), 77-111. Corrigendum: 117(1994), 359.
    • (1993) Invent. Math. , vol.111 , pp. 77-111
    • Rivin, I.1    Hodgson, C.D.2
  • 21
    • 0039639592 scopus 로고
    • Towards a closed string field theory: Topology and convolution algebra
    • J. Stasheff. Towards a closed string field theory: topology and convolution algebra, Topology Proc. 17(1992), 371-388.
    • (1992) Topology Proc. , vol.17 , pp. 371-388
    • Stasheff, J.1
  • 22
    • 0003386303 scopus 로고
    • Closed string field theory. Strong homotopy Lie algebras, and the operad actions of moduli spaces
    • ed. by R. C. Penner and S. T. Yau, International Press
    • _, Closed string field theory. strong homotopy lie algebras, and the operad actions of moduli spaces, in Perspectives on Mathematics and Physics, ed. by R. C. Penner and S. T. Yau, International Press, 1994, 265-288.
    • (1994) Perspectives on Mathematics and Physics , pp. 265-288
  • 24
    • 0039047578 scopus 로고
    • J. STEINER, ystematische Entwicklung der Abhängigkeit geometrischer Gestalten von einander, Reimer, Berlin, 1832; Appeared in J. Steiner's Collected Works, 1881.
    • (1881) J. Steiner's Collected Works
  • 25
    • 84941523016 scopus 로고
    • Über isoperimetrische probleme bei konvexen polyedern
    • E. STEINITZ, Über isoperimetrische probleme bei konvexen polyedern, J. Reine Angew. Math. 159(1928), 133-143.
    • (1928) J. Reine Angew. Math. , vol.159 , pp. 133-143
    • Steinitz, E.1


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