10 citations · 45 across the 24 of their papers we have counts for
24 papers
Stability of the Volume Preserving Mean Curvature Flow in Hyperbolic Space
Zheng Huang, Longzhi Lin, Zhou Zhang
We consider the dynamic property of the volume preserving mean curvature flow. This flow was introduced by Huisken who also proved it converges to a round sphere of the same enclos…
Beyond almost Fuchsian space
Zheng Huang, Ben Lowe
An almost Fuchsian manifold is a hyperbolic 3-manifold of the type which admits a closed minimal surface (homeomorphic to ) with the maximum principal curva…
Donaldson Functional in Teichmüller Theory
Zheng Huang, Marcello Lucia, Gabriella Tarantello
In this paper we define a Donaldson type functional whose Euler-Lagrange equations are a system of differential equations which corresponds to Hitchin's self-duality equations for…
Bifurcation for Minimal Surface Equation in Hyperbolic -Manifolds
Zheng Huang, Marcello Lucia, Gabriella Tarantello
Initiated by the work of Uhlenbeck in late 1970s, we study questions about the existence, multiplicity and asymptotic behavior for minimal immersions of closed surface in some hype…
The Weil-Petersson curvature operator on the universal Teichmüller space
Zheng Huang, Yunhui Wu
The universal Teichmüller space is an infinitely dimensional generalization of the classical Teichmüller space of Riemann surfaces. It carries a natural Hilbert structure, on which…
Mean Curvature Flows of Closed Hypersurfaces in Warped Product Manifolds
Zheng Huang, Zhou Zhang, Hengyu Zhou
We investigate the mean curvature flows in a class of warped product manifolds with closed hypersurfaces fibering over . In particular, we prove that under natural cond…