Resumen de Balls in Hyperbolic 3-Manifolds

Andrew Przeworski

• 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.