天美传媒

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Published on 26 Nov 2025

Classification of Gradient Shrinking Sasaki-Ricci Solitons of Dimension Five

In this talk, with the Munteanu-Wang type curvature estimate, we study the structure theorem at infinity for gradient shrinking Sasaki-Ricci solitons in a complete noncompact Sasakian 5-manifold with bounded scalar curvature. We show that any 5-dimensional gradient shrinking Sasaki-Ricci soliton is the transverse BCCD-type Kaehler-Ricci shrinker which is isometric to the one-point blow-up of S²×R³. This is a jointed work with Chien Lin and Hongbing Qiu.