Boundary-Moment Universality and Curvature Corrections in Random Geometric Graphs on Riemannian Manifolds

Taro Hayashi, Subaru Nomoto, Ryoichi Suzuki

Let $(M,g)$ be a smooth, closed, connected $d$-dimensional Riemannian manifold, and let $X_1,\dots ,X_n$ be i.i.d.\ with common law $fd{\mathrm{vol}}_g$, where $f\in C^4(M)$ is str…