4 papers · 1 filter
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…