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2003 The Regge symmetry is a scissors congruence in hyperbolic space
Yana Mohanty
Algebr. Geom. Topol. 3(1): 1-31 (2003). DOI: 10.2140/agt.2003.3.1

Abstract

We give a constructive proof that the Regge symmetry is a scissors congruence in hyperbolic space. The main tool is Leibon’s construction for computing the volume of a general hyperbolic tetrahedron. The proof consists of identifying the key elements in Leibon’s construction and permuting them.

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Yana Mohanty. "The Regge symmetry is a scissors congruence in hyperbolic space." Algebr. Geom. Topol. 3 (1) 1 - 31, 2003. https://doi.org/10.2140/agt.2003.3.1

Information

Received: 8 October 2002; Revised: 22 December 2002; Accepted: 10 January 2003; Published: 2003
First available in Project Euclid: 21 December 2017

zbMATH: 1026.51015
MathSciNet: MR1997312
Digital Object Identifier: 10.2140/agt.2003.3.1

Subjects:
Primary: 51M10
Secondary: 51M20

Rights: Copyright © 2003 Mathematical Sciences Publishers

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