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Intrinsic geometry of convex ideal polyhedra in hyperbolic 3-space | | Igor Rivin
; | | Date: |
23 May 2000 | | Journal: | Analysis, algebra, and computers in mathematical research (Luleaa, 1992), 275--291, Lecture Notes in Pure and Appl. Math., 156, Dekker, New York, 1994 | | Subject: | Geometric Topology; Combinatorics; Differential Geometry; Metric Geometry; Mathematical Physics MSC-class: 52B70 ;51M10 ; 51M20; 52A55; 52B10; 57M50 | math.GT math-ph math.CO math.DG math.MG math.MP | | Abstract: | The main result is that every complete finite area hyperbolic metric on a sphere with punctures can be uniquely realized as the induced metric on the surface of a convex ideal polyhedron in hyperbolic 3-space. A number of other observations are included. | | Source: | arXiv, math.GT/0005234 | | Services: | Forum | Review | PDF | Favorites | |
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