5 papers
Transverse Rigidity of Shrinking Sasaki-Ricci Solitons
Shu-Cheng Chang, Fengjiang Li, Chien Lin +1
In this paper, we study several properties of Sasaki-Ricci solitons as singularity models of the Sasaki-Ricci flow. First, we establish several fundamental equations for Sasaki-Ric…
Quasi-Einstein manifolds with Harmonic Weyl curvature
Huai-Dong Cao, Fengjiang Li, James Siene
In this paper, we classify -dimensional () quasi-Einstein manifolds with harmonic Weyl curvature, thus extending the work of Shin \cite{Shin} in dimension four for quas…
Rigidity of Five-dimensional Shrinking Gradient Ricci Solitons with Constant Scalar Curvature
Fengjiang Li, Jianyu Ou, Yuanyuan Qu +1
Let be a -dimensional complete noncompact gradient shrinking Ricci soliton with the equation , where is the Ricci tensor and $\nabla…
Rigidity of Five-Dimensional shrinking gradient Ricci solitons
Fengjiang Li, Jianyu Ou, Yuanyuan Qu +1
Suppose is a 5-dimensional complete shrinking gradient Ricci soliton with . If it has bounded curvature, we prove that it is a finite quotient of $\mathbb{R}^3\tim…
On the existence of conic Sasaki-Einstein metrics on log Fano Sasakian manifolds of dimension five
Shu-Cheng Chang, Fengjiang Li, Chien Lin +1
In this paper, we derive the uniform L^{4}-bound of the transverse conic Ricci curvature along the conic Sasaki-Ricci flow on a compact transverse log Fano Sasakian manifold M of d…