Mathematical Sciences: Riemannian Geometry and Geometric Complex Analysis

黎曼几何与几何复分析 研究提出了在微分几何，几何 多变量和偏微分方程方法 包括以下具体专题： 紧伪凸域的Bergman度量几何 非负曲率流形，非紧流形， 非负曲率，拉普拉斯算子的谱，以及 眶褶的几何学 的总体研究重点 项目是研究的概念的关系， 曲率到全局几何体、拓扑结构和 黎曼流形通过几何，复解析和部分 微分 方程法

Riemannian Geometry and Geometric Complex Analysis Investigation is proposed in differential geometry, geometric several variables, and methods of partial differential equations in geometry, including the following specific topics: The Bergman metric geometry of pseudo-convex domains, compact manifolds of non-negative curvature, non-compact manifolds of non-negative curvature, the spectrum of the Laplacian, and the geometry of orbifolds. The overall research thrust of the project is the study of the relationship of the concept of curvature to the global geometry, topology, and analysis of Riemannian manifolds via geometric, complex analytic and partial differential equation methods.