Ben Lowe

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20172021

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math.DG2021

Area, Scalar Curvature, and Hyperbolic 3-Manifolds

Ben Lowe

Let $M$ be a closed hyperbolic 3-manifold that admits no infinitesimal conformally-flat deformations. Examples of such manifolds were constructed by Kapovich. Then if $g$ is a Riem…

math.DG2020

Deformations of Totally Geodesic Foliations and Minimal Surfaces in Negatively Curved 3-Manifolds

Ben Lowe

Let $g_{t}$ be a smooth 1-parameter family of negatively curved metrics on a closed hyperbolic 3-manifold $M$ starting at the hyperbolic metric. We construct foliations of the Grassm…