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math.DG2023
Conformally flat structures via hyperbolic geometry
Keaton Quinn
A pair of tensors form the induced metric and shape operator of an immersion into hyperbolic space if and only if they satisfy the Gauss-Codazzi equations. Such a pair of t…
math.DG2018
Asymptotically Poincaré surfaces in quasi-Fuchsian manifolds
Keaton Quinn
We introduce the notion of an asymptotically Poincaré family of surfaces in an end of a quasi-Fuchsian manifold. We show that any such family gives a foliation of an end by asympto…