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math.DG2024
Foliation of constant harmonic mean curvature surfaces in asymptotic Schwarzschild spaces
Yaoting Gui, Yuqiao Li, Jun Sun
This paper investigates the volume-preserving harmonic mean curvature flow in asymptotically Schwarzschild spaces. We demonstrate the long-time existence and exponential convergenc…
math.DG2024
Stability of the area preserving mean curvature flow in asymptotic Schwarzschild space
Yaoting Gui, Yuqiao Li, Jun Sun
We first demonstrate that the area preserving mean curvature flow of hypersurfaces in space forms exists for all time and converges exponentially fast to a round sphere if the inte…
math.DG2024
Positive mass theorem on conical manifold with small cone angle
Yaoting Gui
We prove the positive mass theorem on conical manifold with small cone angle and co-dimensional two singularities under the assumption that the ambient manifold admits a spin struc…