5 papers
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…
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…
Space of ancient caloric functions on some manifolds beyond volume doubling
Fanghua Lin, Hongbing Qiu, Jun Sun +1
Under a condition that breaks the volume doubling barrier, we obtain a time polynomial structure result on the space of ancient caloric functions with polynomial growth on manifold…
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…
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…