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Chien Lin (Chongqing University of Technology)
2024-10-14  16:00 - 17:00
Room 202, Astronomy and Mathematics Building

A Sasakian (2n+1)-manifold is usually viewed as the odd-dimensional analogue of Kähler manifolds. In particular, the Kähler cone of a Sasaki-Einstein 5-manifold is a Calabi-Yau 3-fold and the corresponding Reeb foliation admits the transverse Kähler-Einstein structure. On the other hand, inspired by the work of Yu Li and Bing Wang on the classification of all Kähler-Ricci shrinker surfaces, we will focus on the classification problem for five-dimensional Sasaki-Ricci solitons. In this talk, as the first step toward this objective, some underlying estimates are obtained, and we will also discuss several possible applications in this direction. This is a joint work with Prof. Shu-Cheng Chang and Fengjiang Li.