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Finsler warped product metrics

发布人：发布时间： 2023-03-16

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**题目****：****Finsler warped product metrics**

**报告人：****莫小欢教授 （北京大学）**

**时间：****2023年3月24日 10:00-12:00**

**地点：****蒙民伟楼1105室**

**摘要：****In this lecture we discuss the warped structures of Finsler metrics. We obtain the differential equation that characterizes the Finsler warped product metrics with vanishing Douglas curvature. By solving this equation, we obtain all Finsler warped product Douglas metrics. Some new Douglas Finsler metrics of this type are produced by using known spherically symmetric Douglas metrics. We also discuss a class of Finsler warped product metrics with quadratic Weyl curvature. We give necessary and sufficient conditions of such metrics to be of quadratic Weyl curvature which are non-trivial in the sense that these metrics are not of Weyl type, refining a theorem due to Gabrani-Sevim-Shen. As its application, we construct infinitely many new non-trivial W-quadratic Finsler warped product metrics.**

**邀请人：****石亚龙 老师**