138 citations · 155 across the 7 of their papers we have counts for
5 papers · 1 filter
Bach-flat gradient steady Ricci solitons
Huai-Dong Cao, Giovanni Catino, Qiang Chen +2
In this paper we prove that any -dimensional () complete Bach-flat gradient steady Ricci soliton with positive Ricci curvature is isometric to the Bryant soliton. We als…
On Bach flat warped product Einstein manifolds
Qiang Chen, Chenxu He
In this paper we show that a compact warped product Einstein manifold with vanishing Bach tensor of dimension is a finite quotient of a warped product with -dimen…
On Bach-flat gradient shrinking Ricci solitons
Huai-Dong Cao, Qiang Chen
In this paper, we classify n-dimensional (n>3) complete Bach-flat gradient shrinking Ricci solitons. More precisely, we prove that any 4-dimensional Bach-flat gradient shrinking Ri…
On rigidity of gradient Kähler-Ricci solitons with harmonic Bochner tensor
Qiang Chen, Meng Zhu
In this paper, we prove that complete gradient steady Kähler-Ricci solitons with harmonic Bochner tensor are necessarily Kähler-Ricci flat, i.e., Calabi-Yau, and that complete grad…
On Locally Conformally Flat Gradient Steady Ricci Solitons
Huai-Dong Cao, Qiang Chen
In this paper, we classify n-dimensional (n>2) complete noncompact locally conformally flat gradient steady solitons. In particular, we prove that a complete noncompact non-flat co…