Submanifold Conformal Invariants and a Boundary Yamabe Problem
While much is known about the invariants of conformal manifolds, the same cannot be said for the invariants of submanifolds in conformal geometries. Codimension one embedded submanifolds (or hypersurfaces) are important for applications to geometric analysis and physics.
KeywordsConformal Invariant Conformal Structure Conformal Geometry Yamabe Problem Conformal Manifold
Prior to this work, A.R. Gover had discussions about this problem with Fernando Marques and then Pierre Albin and Rafe Mazzeo. We are indebted for the insights so gained. The first author is supported by Marsden grant 10-UOA-113.
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