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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…