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math.DG2026
Band Width Estimates and Rigidity of Manifolds with Negative Curvature
Tiarlos Cruz
We establish optimal Lipschitz lower bounds for proper smooth functions on three-dimensional Riemannian manifolds with Ricci curvature bounded below by negative constants, yielding…
math.DG2026
Conformal Geometry and Spectral Bounds on Manifolds with Boundary
Tiarlos Cruz, Leandro F. Pessoa, Erisvaldo Véras
This work investigates upper bounds for the spectrum of the Steklov-type operator on Riemannian manifolds with boundary. We extend the Fraser-Schoen estimate for the first positive…