18 citations · 59 across the 17 of their papers we have counts for
17 papers
Modified Mean Curvature Flow in Fuchsian Manifolds
Yuk Shing Lam, Longzhi Lin
In this paper, we show that the modified mean curvature flow starting from an arbitrary graph in a Fuchsian manifold exists for all time and converges smoothly to an equidistant su…
Modified mean curvature flow and CMC foliation conjecture in almost Fuchsian manifolds
Zheng Huang, Longzhi Lin, Zhou Zhang
There has been a conjecture, often attributed to Thurston, which asserts that every almost Fuchsian manifold is foliated by closed incompressible constant mean curvature (CMC) surf…
Uniqueness of conformal-harmonic maps on locally conformally flat 4-manifolds
Longzhi Lin, Jingyong Zhu
Motivated by the theory of harmonic maps on Riemannian surfaces, conformal-harmonic maps between two Riemannian manifolds and were introduced in search of a natural notion…
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…
Existence of polyharmonic maps in critical dimensions
Weiyong He, Ruiqi Jiang, Longzhi Lin
We prove that for any two closed Riemannian manifolds () and , there exists a minimizing (extrinsic) -polyharmonic map for every free homotopy class in $[M^…
Min-max minimal disks with free boundary in Riemannian manifolds
Longzhi Lin, Ao Sun, Xin Zhou
In this paper, we establish a min-max theory for constructing minimal disks with free boundary in any closed Riemannian manifold. The main result is an effective version of the par…