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math.DG2026
Minimizers of Laplace eigenvalues under a lower curvature bound
Aditya Tiwari
We prove a sharp comparison, with Obata-type rigidity, for all Neumann eigenvalues of one-dimensional spaces against the Legendre model, under a convexity condit…
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…