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math.MG2008★ 10 cited
Geometry and Rank of Fibered Hyperbolic 3-Manifolds
Ian Biringer
Assume that M is a closed hyperbolic 3-manifold fibering over the circle with fiber a closed orientable surface of genus g. We show that if M has large diameter and its injectivity…
math.DG2008
The Three Gap Theorem and Riemannian Geometry
Ian Biringer, Benjamin Schmidt
The classical Three Gap Theorem asserts that for a natural number n and a real number p, there are at most three distinct distances between consecutive elements in the subset of [0…