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- W2765996007 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 prove that the class of negative projectively flat metrics is empty, and that the class of positive projectively flat metrics consists precisely of locally conformally flat-Kahler metrics on Hopf manifolds, explicitly characterized by Vaisman. Finally, we review the properties of zero projectively flat metrics. As applications, we refine a list of possible projectively flat metrics by Li, Yau, and Zheng; moreover we prove that projectively flat astheno-Kahler metrics are in fact Kahler and globally conformally flat." @default.
- W2765996007 created "2017-11-10" @default.
- W2765996007 creator A5029942044 @default.
- W2765996007 date "2017-11-02" @default.
- W2765996007 modified "2023-09-27" @default.
- W2765996007 title "Positive projectively flat manifolds are locally conformally flat-Kahler Hopf manifolds" @default.
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