Haiping Fu

collaborators

3 papers

math.DG2026

Manifolds with harmonic Weyl curvature and curvature operator of the second kind

Haiping Fu, Yao Lu

We prove that a compact Riemannian manifold of dimension $n \geq 8$ with harmonic Weyl curvature and $\frac{3 ( n - 1 ) ( n + 2 )}{4 ( 3 n - 1 )}$ -nonnegative curvature operator of the second kind i…

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.DG2026

New rigidity theorem of Einstein manifolds and curvature operator of the second kind

Haiping Fu, Yao Lu

Using Bochner techniques, we prove that a compact Einstein manifold of dimension $n \geq 4$ has constant curvature provided that the curvature operator of the second kind satisfies…