Shibing Chen

activity

20102026

most citedGlobal regularity for the Monge-Ampère equation with natural boundary condition

10 citations · 29 across the 32 of their papers we have counts for

collaborators

Showing 2026 · math.DGShow all

2 papers · 2 filters

math.DG2026

The isoperimetric inequality and CMC hypersurfaces in Cartan-Hadamard manifolds

Shibing Chen, Mohammad Ghomi, Peng Wang

We show that the sharp Euclidean isoperimetric inequality holds for domains in complete simply connected Riemannian $n$ -manifolds of nonpositive sectional curvature, $3 \leq n \leq 9$ …

math.DG2026

The Cartan-Hadamard conjecture in dimension five

Shibing Chen, Mohammad Ghomi, Peng Wang

We show that the sharp Euclidean isoperimetric inequality holds for domains in complete simply connected Riemannian $5$ -manifolds of nonpositive sectional curvature, which establis…