Invariants from triangulations of hyperbolic 3-manifolds.
Neumann, Walter D., Yang, Jun (1995)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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Displaying similar documents to “Minimum Ideal Triangulations of Hyperbolic 3-Manifolds.”
Invariants from triangulations of hyperbolic 3-manifolds.
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Carlo Petronio (2000)
Bollettino dell'Unione Matematica Italiana
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Quello delle triangolazioni geodetiche ideali è un metodo molto potente per costruire strutture iperboliche complete di volume finito su 3-varietà non compatte, ma non è noto se il metodo sia applicabile in generale. È tuttavia noto che esistono triangolazioni ideali parzialmente piatte, ma l'analisi della situazione diviene più ardua sotto diversi aspetti, quando si ha a che fare con tetraedri piatti oltre che veri tetraedri. In particolare, la topologia dello spazio di identificazione...
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Peter B. Shalen, Marc Culler (1994)
Inventiones mathematicae
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Traces, lengths, axes and commensurability
Alan W. Reid (2014)
Annales de la faculté des sciences de Toulouse Mathématiques
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The focus of this paper are questions related to how various geometric and analytical properties of hyperbolic 3-manifolds determine the commensurability class of such manifolds. The paper is for the large part a survey of recent work.
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Long, D.D., Reid, A.W. (2000)
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Complex hyperbolic manifolds and exotic smooth structures.
L.E. Jones, F.T. Farrell (1994)
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Regenerating hyperbolic cone 3-manifolds from dimension 2
Joan Porti (2013)
Annales de l’institut Fourier
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We prove that a closed 3-orbifold that fibers over a hyperbolic polygonal 2-orbifold admits a family of hyperbolic cone structures that are viewed as regenerations of the polygon, provided that the perimeter is minimal.