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报告题目：Constant Gauss curvature foliation of AdS spacetimes with particles
报 告 人：陈麒羽 博士（中山大学）
报告时间：2017年06月07日（星期三）上午10：00-11：00

报告地点：4号楼4318室

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                                                                      数学学院
                                                                   2017年06月05日

报告摘要：
    Motivated by the work of Barbot, Beguin and Zeghib about the K-foliations (constant Gauss curvature foliations) of 3-dimensional globally hyperbolic maximal compact (GHMC) spacetimes of constant curvature, we study the analogous question for convex GHM AdS manifolds with particles (cone singularities of angles less than $/pi$ along time-like curves).
    We will show that the complement of the convex core in a convex GHM AdS manifold with particles admits a unique K-foliation. This extends, and provides a new proof of, a result of Barbot, Beguin and Zeghib. As an application of this result, we generalize to hyperbolic surfaces with cone singularities (of angles less than $/pi$) a number of results concerning landslides, which are smoother analogs of earthquakes sharing some of their key properties. This is a joint work with Jean-Marc Schlenker.