The authors introduce constructions for conformal submanifold invariants and derive a Gauss-Bonnet-Chern-type formula relating renormalized area of k-dimensional minimal submanifolds in conformally compact Einstein manifolds to Euler characteristic and a weight -k scalar integral, along with a rigid
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Local and global conformal invariants of submanifolds
The authors introduce constructions for conformal submanifold invariants and derive a Gauss-Bonnet-Chern-type formula relating renormalized area of k-dimensional minimal submanifolds in conformally compact Einstein manifolds to Euler characteristic and a weight -k scalar integral, along with a rigid