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math.DG2022
A Sharp Characterization of the Willmore Invariant
Samuel Blitz
First introduced to describe surfaces embedded in , the Willmore invariant is a conformally-invariant extrinsic scalar curvature of a surface that vanishes when the s…
math.DG2021★ 1 cited
Conformal Fundamental Forms and the Asymptotically Poincaré--Einstein Condition
Samuel Blitz, A. Rod Gover, Andrew Waldron
An important problem is to determine under which circumstances a metric on a conformally compact manifold is conformal to a Poincaré--Einstein metric. Such conformal rescalings are…