6 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…
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…
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…
Lipschitz regularity of sub-elliptic harmonic maps into CAT(0) spaces
Renan Assimos, Yaoting Gui, Jürgen Jost
We prove the local Lipschitz continuity of sub-elliptic harmonic maps between certain singular spaces, more specifically from the -dimensional Heisenberg group into spa…