Zhengnan Chen

collaborators

2 papers

math.DG2025

On Shrinking Ricci solitons with positive isotropic curvature in higher dimensions

Zhengnan Chen

For all dimensions $n \geq 5$ , let $(M, g, f)$ be a $n -$ dimensional shrinking gradient Ricci soliton with strictly positive isotropic curvature (PIC). Suppose furthermore that $\nabla^…

math.DG2024

Manifolds with positive isotropic curvature of dimension at least nine

Zhengnan Chen

In [Bre19], Simon Brendle showed that any compact manifold of dimension $n \geq 12$ with positive isotropic curvature and contains no nontrivial incompressible $(n - 1) -$ dimensional sp…