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math.DG2019★ 3 cited
Stationary one-sided area-minimizing hypersurfaces with isolated singularities
Zhenhua Liu
We extend the results of Hardt and Simon on area-minimizing cones to prove that isolated singularities of stationary one-sided area-minimizing hypersurfaces can be locally perturbe…
math.DG2019★ 1 cited
Proof of Bishop's volume comparison theorem using singular soap bubbles
Hubert Bray, Feng Gui, Zhenhua Liu +1
Bishop's volume comparison theorem states that a compact -manifold with Ricci curvature larger than the standard -sphere has less volume. While the traditional proof uses geo…