2 papers
math.DG2026
Bottom spectrum and parabolicity of 3-manifolds with scalar curvature lower bound
Ovidiu Munteanu, Jiaping Wang
Under a necessary topological assumption, two global results are established for complete three dimensional manifolds. The first one provides a sharp upper bound for the bottom spe…
math.DG2025
Sharp integral bound of scalar curvature on -manifolds
Ovidiu Munteanu, Jiaping Wang
It is shown that the integral of the scalar curvature on a geodesic ball of radius in a three-dimensional complete manifold with nonnegative Ricci curvature is bounded above by…