2 papers
math.DG2025
A Gauss-Bonnet formula for the renormalized area of minimal submanifolds of Poincaré-Einstein manifolds
Jeffrey S. Case, C Robin Graham, Tzu-Mo Kuo +2
Assuming the extrinsic -curvature admits a decomposition into the Pfaffian, a scalar conformal submanifold invariant, and a tangential divergence, we prove that the renormalized…
math.DG2025
Boundary Curvature Scalars on Conformally Compact Manifolds
A. Rod Gover, JarosÅaw KopiÅski, Andrew Waldron
We introduce a sequence of conformally invariant scalar curvature quantities, defined along the conformal infinity of a conformally compact (CC) manifold, that measure the failure…