93 citations · 210 across the 29 of their papers we have counts for
31 papers
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…
A Minkowski type inequality for manifolds with positive spectrum
Ovidiu Munteanu, Jiaping Wang
The classical Minkowski inequality implies that the volume of a bounded convex domain is controlled from above by the integral of the mean curvature of its boundary. In this note,…
Area and spectrum estimates for stable minimal surfaces
Ovidiu Munteanu, Chiung-Jue Anna Sung, Jiaping Wang
This note concerns the area growth and bottom spectrum of complete stable minimal surfaces in a three-dimensional manifold with scalar curvature bounded from below. When the ambien…
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…