比利时鲁汶大学Marie D’Haene博士学术报告

理工楼601;腾讯会议: 232662066, 密码:0515

发布者:韩伟发布时间:2024-05-11浏览次数:17

报告题目:Submanifolds of 4-dimensional Thurston geometries 

时      间 202451510:55

地      点 理工楼601;腾讯会议: 232662066,  密码:0515

主办单位: 数学与统计学院、分析数学及应用教育部重点实验室、福建省分析数学及应用重点实验室、统计学与人工智能福建省高校重点实验室福建省应用数学中心(福建师范大学

参加对象: 感兴趣的老师和研究生


报告摘要: Thurston geometries are an interesting class of Riemannian homogeneous spaces, which play a fundamental role in geometrization theorems. In this talk we discuss a classification result of Codazzi hypersurfaces (including parallel and totally geodesic hypersurfaces) in the 4-dimensional Thurston geometries Sol^4_1 and Sol^4_0. Moreover, we analyse the structure of Sol^4_(m,n), Nil^4 and F^4. Before doing so, we motivate the study of Thurston geometries in general by looking at the geometrization in dimension 2 and 3: the uniformization of surfaces and the Thurston geometrization conjecture, respectively. From this it becomes clear that Thurston geometries can be thought of as model spaces. In addition, we mention some results of other authors on submanifolds in Thurston geometries, showing that there has already been great interest in this field from a Riemannian point of view.


报告人简介:Marie D’Haene is a PhD student of KU Leuven, mainly working on differential geometry.