4 papers · 1 filter
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…
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…
Bottom spectrum of three-dimensional manifolds with scalar curvature lower bound
Ovidiu Munteanu, Jiaping Wang
A classical result of Cheng states that the bottom spectrum of complete manifolds of fixed dimension and Ricci curvature lower bound achieves its maximal value on the corresponding…
Geometry of three-dimensional manifolds with positive scalar curvature
Ovidiu Munteanu, Jiaping Wang
The purpose of this paper is to derive volume and other geometric information for three-dimensional complete manifolds with positive scalar curvature. In the case that the Ricci cu…