Aditya Tiwari

collaborators

2 papers

math.SP2026

A Weighted Discretization of Riemannian Manifolds with Lower Ricci Bounds

Aditya Tiwari

Let $(M, g)$ be a connected, compact, $n$ -dimensional Riemannian manifold with $Ric (M, g) \geq - (n - 1) I^º g$ . We introduce a weighted combinatorial Laplacian on $\varepsilo…

math.DG2026

Eigenvalue Estimates of the Hodge Laplacian Under Lower Ricci Curvature Bound

Anusha Bhattacharya, Soma Maity, Aditya Tiwari

We establish uniform lower and upper bounds for the eigenvalues of the Hodge Laplacian acting on differential forms on closed Riemannian manifolds with a lower Ricci curvature boun…