授 课 人：Prof. Mingliang Cai(迈尔密大学，USA）

课程名称: Riemannian and Lorentzian Geometry

课程安排：7月7日--7月29日  9:30-11:30（星期二，星期四），14:00-16:00（星期三）

地点：管理楼1318（星期二，星期四），管理楼1308（星期三）

Abstract:

This is an introductory course in Riemannian and Lorentzian Geometry. The prerequisites for the course are real analysis and general topology. The following is a brief description of the course.

1 Riemannian Geometry

We will give a quick introduction to di

erential manifolds and give a brief discussions of Riemannian metrics, including various notions of curvature.

2 Lorenzian Geometry

Basic notions in Lorentzian geometry will be discussed through numerous examples.

Hawkings black hole topology theorem and its generalizations will be proved here.

We will spend a signi