4 papers · 1 filter
On the Hamilton-Tian Conjecture in a compact transverse Fano Sasakian -manifold
Shu-Cheng Chang, Yingbo Han, Chien Lin +1
In this paper, we first confirm the Hamilton-Tian conjecture for the Sasaki-Ricci flow in a compact transverse Fano quasi-regular Sasakian -manifold with klt foliation singulari…
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…
On the Sasakian Structure of Manifolds with Nonnegative Transverse Bisectional Curvature
Shu-Cheng Chang, Yingbo Han, Chien Lin +1
In this paper, we concern with the Sasaki analogue of Yau uniformization conjecture in a complete noncompact Sasakian manifold with nonnegative transverse bisectional curvature. As…
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…