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math.DG2022★ 1 cited
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…
math.DG2019★ 1 cited
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…