3 papers
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.DG2024
Volume growth functions of complete Riemannian manifolds with positive scalar curvature
Anushree Das, Soma Maity
Let be an open manifold of dimension at least , which admits a complete metric of positive scalar curvature. For a function with bounded growth of derivative, whether $M…