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math.DG2025
Stability of volume and area preserving mean curvature flow in asymptotic Schwarzschild space
Yaoting Gui, Yuqiao Li, Jun Sun
In this paper, we investigate the stability of the volume preserving mean curvature flow (VPMCF) and area preserving mean curvature flow (APMCF) in the Schwarzschild space. We show…
math.DG2025
Constant Harmonic Mean Curvature Foliation in Asymptotic Schwarzschild Spaces-II
Yaoting Gui, Yuqiao Li, Jun Sun
This paper extends the results of [GLS24], where the existence of a constant harmonic mean curvature foliation was established in the setting of a 3-dimensional asymptotically Schw…