3 papers
math.DG2025
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…
math.DG2025
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…
math.DG2023
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…