Hung Tran
Published 2016-02-03Version 1
We derive point-wise and integral rigidity/gap results for a closed manifold with harmonic Weyl curvature in any dimension. In particular, there is a generalization of Tachibana's theorem for non-negative curvature operator. The key ingredients are new Bochner-Weitzenb\"ock-Lichnerowicz type formulas for the Weyl tensor, which are generalizations of identities in dimension four.
A nonlocal $\mathbf Q$-curvature flow on a class of closed manifolds of dimension $\mathbf{n \geq 5}$
Gradient Steady Ricci Solitons with Harmonic Weyl Curvature
On compact Riemannian manifolds with harmonic weyl curvature
![QR code for arXiv:1602.01429 [math.DG]](http://oss.arxitics.com/images/favicon.svg)