15 citations · 95 across the 24 of their papers we have counts for
7 papers · 1 filter
Bi-Lipschitz Regularity of 2-Varifolds with the Critical Allard Condition
Yuchen Bi, Jie Zhou
For an intergral -varifold in the unit ball passing through the original point, assuming the critical Allard condition holds, that is, the a…
The sharp lower bound of the first Dirichlet eigenvalue for geodesic balls
Haibin Wang, Guoyi Xu, Jie Zhou
On complete noncompact Riemannian manifolds with non-negative Ricci curvature, Li-Schoen proved the uniform Poincare inequality for any ge odesic ball. In this note, we obtain the…
Gromov-Hausdorff convergence theory of surfaces
Sun Jianxin, Jie Zhou
In this paper, we use the viewpoint of Gromov-Haustorff convergence to give some new comprehension of well known theorem,it is Huber's classification theorem\cite{Huber}\cite{MS}fo…
Regularized Integrals on Riemann Surfaces and Modular Forms
Si Li, Jie Zhou
We introduce a simple procedure to integrate differential forms with arbitrary holomorphic poles on Riemann surfaces. It gives rise to an intrinsic regularization of such singular…
Topology of surfaces with finite Willmore energy
Jie Zhou
In this paper, we study the critical case of the Allard regularity theorem. Combining with Reifenberg's topological disk theorem, we get a critical Allard-Reifenberg type regularit…
A Gromov-Hausdorff convergence theorem of surfaces in with small total curvature
Jianxin Sun, Jie Zhou
In this paper, we mainly study the compactness and local structure of immersing surfaces in with local uniform bounded area and small total curvature $\int_{Σ\cap B_…
Modularity of Open Gromov-Witten Potentials of Elliptic Orbifolds
Siu-Cheong Lau, Jie Zhou
We study the modularity of the genus zero open Gromov-Witten potentials and its generating matrix factorizations for elliptic orbifolds. These objects constructed by Lagrangian Flo…