Zhi-Lin Dai

collaborators

2 papers

math.DG2026

Manifolds with harmonic curvature and curvature operator of the second kind

Haiping Fu, Yao Lu, Zhilin Dai

We prove that complete Riemannian manifolds of dimension $n \geq 3$ with harmonic curvature and $\frac{n ( n + 2 )}{2 ( n + 1 )}$ -nonnegative curvature operator of the second kind must be Einst…

math.DG2023

Einstein manifolds and curvature operator of the second kind

Zhi-Lin Dai, Hai-Ping Fu

We prove that a compact Einstein manifold of dimension $n \geq 4$ with nonnegative curvature operator of the second kind is a constant curvature space by Bochner technique. Moreover…