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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
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
Transverse Rigidity of Shrinking Sasaki-Ricci Solitons
Shu-Cheng Chang, Fengjiang Li, Chien Lin +1
In this paper, we study several properties of Sasaki-Ricci solitons as singularity models of the Sasaki-Ricci flow. First, we establish several fundamental equations for Sasaki-Ric…