Deformation of conic negative Kahler-Einstein manifolds  

作　　者：Yan LI 

机构地区：[1]School of Mathematical Sciences, Capital Normal University, Beijing 100048, China

出　　处：《Frontiers of Mathematics in China》2017年第3期597-606,共10页中国高等学校学术文摘·数学（英文）

摘　　要：In this note, we investigate the behavior of a smooth flat family of n-dimensional conic negative Kahler-Einstein manifolds. By H. Guenancia＇s argument, a cusp negative Kahler-Einstein metric is the limit of conic negative Kahler-Einstein metric when the cone angle tends to 0. Furthermore, it establishes the behavior of a smooth flat family of n-dimensional cusp negative Kahler-Einstein manifolds.In this note, we investigate the behavior of a smooth flat family of n-dimensional conic negative Kahler-Einstein manifolds. By H. Guenancia＇s argument, a cusp negative Kahler-Einstein metric is the limit of conic negative Kahler-Einstein metric when the cone angle tends to 0. Furthermore, it establishes the behavior of a smooth flat family of n-dimensional cusp negative Kahler-Einstein manifolds.

分 类 号：T[一般工业技术]