Introduction to Differential Geometry

Notes

• A bridge from specific geometry to abstract geometry 12/04

• A note of geometric convention note

1. Solution to Midterm exam 11/20

2. Solution to Final exam 1/8

Extension

1. Introduction to Differential Geometry online course in NTHU by Prof. Song Here

2. A lecture note about Introduction to Differential Geometry in CUHK Here

3. Reference for basic leaner (for this class)
   • Mantredo do Carmo, Differential Geomtry of Curves and Surface
4. Reference for intermediate leaner (for Riemannian manifold)
   • John Lee, Riemannian Manifolds: An Introduction to Curvature
   • Mantredo do Carmo, Riemannian Geometry.
   • Loring Tu, An Introduction to Manifolds
5. Reference for advance learner (for special topic)
   • Jurgen Jost, Riemannian Geometry and Geometric Analysis
   • Jeff Cheeger, Comparison Theorems in Riemannian Geometry
   • Clifford Taubes, Differential Geometry: Bundles, Connections, Metrics and Curvatures
6. Reference for reference only (for dictionary)
   • John Lee, Introduction to Smooth Manifolds