3 papers
math.DG2026
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…
math.DG2025
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…
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…