Manifolds and Lie Groups
Instructor: Guanghua JI
Classroom and Time: B115, ZhiXin Building/ 5-6, Mon Wed
Prerequisites: general topology, functional analysis, group theory
Grading: The course grade will be based homework(50%) and final exam(50%).
1 Loring W. Tu, An Introduciton to Manifolds, Springer.
2 F. Warner, Foundations of Differentiable Manifolds and Lie Groups, GTM 94.
3 John M. Lee, Introduction to Smooth Manifolds, GTM 218.
Chapter I, Eclidean Spaces
Chapter II, Smooth Manifolds
Chanter III, The Tangent Space
Chapter IV, Lie Groups and Lie Algebras
Chapter V, Differential Forms
Chapter VI, Integration
Chapter VII, De Rham Theory