Seminar | Institute of Mathematical Sciences
Time：10:30-11:30, Dec. 20, Thursday
Location：Room 302, Library
Speaker: Simone Calamai, Universita delgi Studi di Firenze
Abstract: We define a partition of the space of projectively flat metrics in three classes according to the sign of the Chern scalar curvature; we show that the class of negative projectively flat metrics is empty, and the class of positive projectively flat metrics consists precisely of locally conformally flat-Kaehler metrics on Hopf manifolds, explicitly characterized by Vaisman. If time allows, we review the known characterization and properties of zero projectively flat metrics. As applications, we make sharp the list of possible projectively flat metrics by Li, Yau, and Zheng.