3 papers
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.DG2025
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 (…
math.DG2025
The Rigidity Theorem of Legendrian self-shrinkers
Shu-Cheng Chang, Hongbing Qiu, Liuyang Zhang
By estimating the weighted volume, we obtain the optimal volume growth for Legendrian self-shrinkers. This, in turn, yields a rigidity theorem for entire smooth Legendrian self-shr…