A Weighted Discretization of Riemannian Manifolds with Lower Ricci Bounds

Aditya Tiwari

Let $(M,g)$ be a connected, compact, $n$-dimensional Riemannian manifold with $\mathrm{Ric}(M,g)\ge -(n-1)\kappa g$. We introduce a weighted combinatorial Laplacian on $\varepsilon…