Qi Ding

activity

20132026

collaborators

4 papers

math.DG2026

Topology of complete minimal submanifolds in $R^{n + m}$ with finite total curvature

Qi Ding, Lei Zhang

In [CKM17], Chodosh, Ketover, and Maximo proved finite diffeomorphism theorems for complete embedded minimal hypersurfaces of dimension $⩽$ 6 with finite index and bounded…

math.DG2024

Liouville theorem for minimal graphs over manifolds of nonnegative Ricci curvature

Qi Ding

Let $Σ$ be a complete Riemannian manifold of nonnegative Ricci curvature. We prove a Liouville-type theorem: every smooth solution $u$ to minimal hypersurface equation on $Σ$ is a…

math.DG2013

Minimal graphic functions on manifolds of non-negative Ricci curvature

Qi Ding, J. Jost, Y. L. Xin

We study minimal graphic functions on complete Riemannian manifolds $\Si$ with non-negative Ricci curvature, Euclidean volume growth and quadratic curvature decay. We derive global…

math.DG2013

Existence and non-existence of area-minimizing hypersurfaces in manifolds of non-negative Ricci curvature

Qi Ding, J. Jost, Y. L. Xin

We study minimal hypersurfaces in manifolds of non-negative Ricci curvature, Euclidean volume growth and quadratic curvature decay at infinity. By comparison with capped spherical…

Topology of complete minimal submanifolds in Rn+m with finite total curvature

Liouville theorem for minimal graphs over manifolds of nonnegative Ricci curvature

Minimal graphic functions on manifolds of non-negative Ricci curvature

Existence and non-existence of area-minimizing hypersurfaces in manifolds of non-negative Ricci curvature

Topology of complete minimal submanifolds in $R^{n + m}$ with finite total curvature