Balls in Hyperbolic 3-Manifolds

• Autores: Andrew Przeworski
• Localización: Houston journal of mathematics, ISSN 0362-1588, Vol. 31, Nº 1, 2005, págs. 161-172
• Idioma: inglés
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• Resumen

  • We show that in a closed orientable hyperbolic 3-manifold, any maximal embedded tube of radius r contains a ball of a certain radius. We then use the fact that most closed orientable hyperbolic 3-manifolds contain tubes of radius (log 3)/2 to provide a universal lower bound on the radius of the ball.