19 citations · 41 across the 6 of their papers we have counts for
7 papers · 1 filter
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…
Comparison theorems for three-dimensional manifolds with scalar curvature bound
Ovidiu Munteanu, Jiaping Wang
Two sharp comparison results are derived for three-dimensional complete noncompact manifolds with scalar curvature bounded from below. The first one concerns the Green's function.…
Positive solutions to Schrödinger equations and geometric applications
Ovidiu Munteanu, Felix Schulze, Jiaping Wang
A variant of Li-Tam theory, which associates to each end of a complete Riemannian manifold a positive solution of a given Schrödinger equation on the manifold, is developed. It is…
Weighted Poincare inequality and the Poisson equation
Ovidiu Munteanu, Chiung-Jue Anna Sung, Jiaping Wang
We develop Green's function estimate for manifolds satisfying a weighted Poincare inequality together with a compatible lower bound on the Ricci curvature. The estimate is then app…
Positively curved shrinking Ricci solitons are compact
Ovidiu Munteanu, Jiaping Wang
We show that a shrinking Ricci soliton with positive sectional curvature must be compact. This extends a result of Perelman in dimension three and improves a result of Naber in dim…
Geometry of manifolds with densities
Ovidiu Munteanu, Jiaping Wang
We study geometry of complete Riemannian manifolds endowed with a weighted measure, where the weight function is of quadratic growth. Assuming the associated Bakry-Emery curvature…