Math 230a: Differential Geometry
Monday, Wednesday, Friday, 12pm, Science Center 310
Course website:
math.harvard.edu/~tcollins/Math230a.html
Instructor:
Tristan Collins
Email: tcollins at math dot harvard dot edu
Office: Science Center 239
Syllabus
The Syllabus for the course is available
here .
Course References
As much as possible, I will try to provide links to publicly available sources.
 (T) Clifford Taubes: Bundles, Connections, Metrics and Curvature
 (L1) John Lee: Introduction to Smooth Manifolds
Progress
This is approximate.
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Date 
Material 
Problems/Handouts 
Aug. 30Sept. 1 
Smooth Manifolds: References: (T)Chapter 1, (L1)Chapter 1
 Homework 1 
Sept.68 
Tangent Vectors, The Lie Bracket, Lie Groups 
Homework 2

Sept. 1115 
Lie Groups and Vector Bundles: (T)Chapters 2 and 3 
Homework 3

Sept. 1822 
Vector bundles: (T) Chapter 4, 5 
Homework 4

Sept. 25 Oct. 13 
Vector bundles, Metrics, Geodesics 
Homework 5
