Showing 2024Show all
2 papers · 1 filter
math.DG2024
Geodesic normal coordinates and natural tensors for pseudo-Riemannian submanifolds
C Robin Graham, Tzu-Mo Kuo
We construct a version of geodesic normal coordinates adapted to a submanifold of a pseudo-Riemannian manifold and show that the Taylor coefficients of the metric in these coordina…
math.DG2024
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…