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math.DG2024
Circle bundles with PSC over large manifolds
Aditya Kumar, Balarka Sen
We construct infinitely many examples of macroscopically large manifolds of dimension equipped with circle bundles whose total spaces admit metrics of positive scalar cu…
math.DG2024
The first Steklov eigenvalue on manifolds with nonnegative Ricci curvature and convex boundary
Jonah A. J. Duncan, Aditya Kumar
We establish a new lower bound for the first non-zero Steklov eigenvalue of a compact Riemannian manifold with non-negative Ricci curvature and (strictly) convex boundary. Related…