8 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…
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 theorems for complete Legendrian self-shrinkers
Shu-Cheng Chang, Hongbing Qiu, Liuyang Zhang
We study the self-shrinkers of the Legendrian mean curvature flow in the contact Euclidean space , that is, the Legendrian submanifolds which move under the flow…
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…
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 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…
Contact Blow-up Analysis of the Legendrian Mean Curvature Flow and a Smale-type Theorem for Strict Contactomorphisms of Sasakian Spheres
Shu-Cheng Chang, Chin-Tung Wu, Liuyang Zhang
We study the Legendrian mean curvature flow in -Einstein Sasakian manifolds by parabolic rescalings which preserve the contact structure. In a compact -Einstein Sasakian mani…