Mathematics 230A

Differential Geometry (113369)

Yum-Tong Siu

2025 Fall (4 Credits)

Schedule: TR 0300 PM - 0415 PM

Instructor Permissions: None

Enrollment Cap: n/a

Basic properties and examples of smooth manifolds, Lie groups, and vector bundles; Riemannian geometry (metrics, geodesics, Levi-Civita connections, and Riemann curvature tensors); principal bundles and associated vector bundles with their connections and characteristic classes.

Recommended Prep:

Knowledge of the material in Mathematics 132 and 136.

: