MathematicsMATH 212 Differential Geometry

Principal bundles, associated bundles and vector bundles, connections and curvature on principal and vector bundles. More advanced topics include: introduction to cohomology, the Chern-Weil construction and characteristic classes, the Gauss-Bonnet theorem or Hodge theory, eigenvalue estimates for Beltrami Laplacian, and comparison theorems in Riemannian geometry.

Requirements

Prerequisite(s): MATH 208. Enrollment is restricted to graduate students.

Credits

5

Quarter offered

Spring