7 papers
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…
Geometry and Topology of Gradient Shrinking Sasaki-Ricci Solitons
Shu-Cheng Chang, Yingbo Han, Chin-Tung Wu
In this paper, we study the geometry and topology of complete gradient shrinking Sasaki-Ricci solitons. We first prove that they must be connected at infinity. This is a Sasaki ana…
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…
Gradient Shrinking Sasaki-Ricci Solitons with Harmonic Weyl Tensor
Shu-Cheng Chang, Hongbing Qiu
We establish integral curvature estimates for complete gradient shrinking Sasaki-Ricci solitons. As an application, we show that any such soliton with harmonic Weyl tensor must be…
Rigidity and Classification of Legendrian Self-Shrinkers
Shu-Cheng Chang, Chin-Tung Wu, Liuyang Zhang +1
In this article, we first classify Legendrian self-shrinkers in and . We then proved a Legendrian rigidity theorem, which can be regarded as an a…
The Smale Conjecture and Minimal Legendrian Graph in
Shu-Cheng Chang, Chin-Tung Wu, Liuyang Zhang
In this article, we recapture the Smale conjecture on a Sasakian -sphere via the Legendrian mean curvature flow. More precisely,~we deform the area-preserving contactomorphism (…