collaborators

4 papers

math.DG2026

Dirichlet Eigenvalue Approximation on Manifolds with Cylindrical Boundary

Anusha Bhattacharya

We prove that the Dirichlet eigenvalues of the Laplace-Beltrami operator on a compact Riemannian manifold with cylindrical boundary can be approximated by the spectrum of truncated…

math.DG2026

A Cheng-type Eigenvalue-Comparison Theorem for the Hodge Laplacian

Anusha Bhattacharya, Soma Maity

We consider the class of closed Riemannian -manifolds with Ricci curvature and injectivity radius bounded below by uniform constants, and an upper bound on the diameter. We esta…

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…

math.SP2026

Graph discretization of Laplacian on Riemannian manifolds with bounds on Ricci curvature

Anusha Bhattacharya, Soma Maity

We study the approximation of eigenvalues for the Laplace-Beltrami operator on closed Riemannian manifolds in the class , characterized by bounded Ricci curvature, a l…