29 citations · 115 across the 21 of their papers we have counts for
21 papers · 1 filter
Hamiltonian stationary Lagrangian currents in Ricci-flat Kähler manifolds
Qi Ding
In this paper, we investigate Hamiltonian stationary Lagrangian currents with single-valued phases in open sets of Ricci-flat Kähler manifolds. We first establish the relation betw…
Capacity for minimal graphs over manifolds and the half-space property
Qi Ding
In this paper, we define natural capacities using a relative volume of graphs over manifolds, which can be characterized by solutions of bounded variation to Dirichlet problems of…
Poincaré inequality on minimal graphs over manifolds and applications
Qi Ding
Let be an -dimensional smooth geodesic ball with Ricci curvature for some . We establish the Sobolev inequality and the uniform Neumann-Poincaré…
Minimal graphs of arbitrary codimension in Euclidean space with bounded 2-dilation
Qi Ding, J. Jost, Y. L. Xin
For any , let denote the space containing all locally Lipschitz minimal graphs of dimension and of arbitrary codimension in Euclidean space $\mathb…
Minimal hypersurfaces in manifolds of Ricci curvature bounded below
Qi Ding
In this paper, we study the angle estimate of distance functions from minimal hypersurfaces in manifolds of Ricci curvature bounded from below using Colding's method in [13]. With…
Area-minimizing hypersurfaces in manifolds of Ricci curvature bounded below
Qi Ding
In this paper, we study area-minimizing hypersurfaces in manifolds of Ricci curvature bounded below with Cheeger-Colding theory. Let be a sequence of smooth manifolds with Ri…