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math.DG2019
Singular Yamabe and Obata Problems
A. Rod Gover, Andrew Waldron
A conformal geometry determines a distinguished, potentially singular, variant of the usual Yamabe problem, where the conformal factor can change sign. When a smooth solution does…
math.DG2019
Conformal Geometry of Embedded Manifolds with Boundary from Universal Holographic Formulae
Cesar Arias, A. Rod Gover, Andrew Waldron
For an embedded conformal hypersurface with boundary, we construct critical order local invariants and their canonically associated differential operators. These are obtained holog…