In this talk, we will study pseudo-Riemannian Lie groups with conformal vector fields. Firstly, we focus on non-Killing left-invariant conformal vector fields. The main results are the solvablity of such Lie groups of types (n,1) and (n,2), the non-solvable examples for type (p,q) with p,q>2, and the classification of type (n,1). Then we discuss a nature generalization of the above case, from the inner derivation to a general derivation. The talk bases on the joint work with J. Tan, H. Zhang and S. Zhang.
会议ID:427-792-287
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陈智奇,南开大学数学科学学院教授,博士生导师。主要从事李群、李代数及微分几何的研究,研究内容包括伪黎曼流形、齐性Einstein度量、测地轨道空间等,在J. Differential Geometry,J. Geom. Anal.,Comm. Anal. Geom.,J. Algebra 等期刊发表SCI论文60多篇。主持或参与完成国家自然科学基金项目5项,2019年参与国家自然科学基金重点项目。