8 citations · 15 across the 16 of their papers we have counts for
16 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…
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…
Legendrian mean curvature flow in -Einstein Sasakian manifolds
Shu-Cheng Chang, Yingbo Han, Chin-Tung Wu
Recently, there are a great deal of work done which connects the Legendrian isotopic problem with contact invariants. The isotopic problem of Legendre curve in a contact 3-manifold…
Gradient Shrinking Sasaki-Ricci Solitons on Sasakian Manifolds of Dimension Up to Seven
Der-Chen Chang, Shu-Cheng Chang, Yingbo Han +2
In this paper, we show that the uniform L^4-bound of the transverse Ricci curvature along the Sasaki-Ricci flow on a compact quasi-regular transverse Fano Sasakian (2n+1)-manifold…
Foliation divisorial contraction by the Sasaki-Ricci flow on Sasakian 5-manifolds
Shu-Cheng Chang, Chien Lin, Chin-Tung Wu
Let (M,η,ξ,Φ,g) be a compact quasi-regular Sasakian 5-manifold with finite cyclic quotient foliation singularities of type (1/r)(1,a). First, we derive the foliation minimal model…
Convergence of the Sasaki-Ricci flow on Sasakian 5-manifolds of general type
Shu-Cheng Chang, Yingbo Han, Chien Lin +1
In this paper, we show that the uniform L^{4}-bound of the transverse Ricci curvature along the Sasaki-Ricci flow on a compact quasi-regular Sasakian (2n+1)-manifold M of general t…
On the Obata theorem for the weighted Kohn Laplacian in a closed weighted Sasakian manifold
Chin-Tung Wu
In this paper, we generalize the CR Obata theorem for the Kohn Laplacian to a closed strictly pseudoconvex CR manifold with a weighted volume measure. More precisely, we first deri…
On the Obata Theorem in a weighted Sasakian manifold
Shu-Cheng Chang, Daguang Chen, Chin-Tung Wu
In this paper, we generalize the CR Obata theorem to a compact strictly pseudoconvex CR manifold with a weighted volume measure. More precisely, we first derive the weighted CR Rei…
Short-Time Existence Theorem for the CR Torsion Flow
Shu-Cheng Chang, Chin-Tung Wu
In this paper, we study the torsion flow which is served as the CR analogue of the Ricci flow in a closed pseudohermitian manifold. We show that there exists a unique smooth soluti…
On the CR Analogue of Reilly Formula and Yau Eigenvalue Conjecture
Shu-Cheng Chang, Chih-Wei Chen, Chin-Tung Wu
In this paper, we derive the CR Reilly's formula and its applications to studying of the first eigenvalue estimate for CR Dirichlet eigenvalue problem and embedded p-minimal hypers…
A generalization of almost Schur lemma on CR manifolds
Jui-Tang Chen, Nguyen Thac Dung, Chin-Tung Wu
In this paper, we study a general almost Schur Lemma on pseudo-Hermitian (2n+1)-manifolds for . When the equality of almost Schur inequality holds, we derive the…
The torsion flow on a closed pseudohermitian 3-manifold
Shu-Cheng Chang, Otto van Koert, Chin-Tung Wu
In this paper we define the torsion flow, a CR analogue of the Ricci flow. For homogeneous CR manifolds we give explicit solutions to the torsion flow illustrating various kinds of…