MATH545 DIFFERENTIAL GEOMETRY I
| Course Code: |
2360545 |
| METU Credit (Theoretical-Laboratory hours/week): |
3(3-0) |
| ECTS Credit: |
8.0 |
| Department: |
Mathematics |
| Language of Instruction: |
English |
| Level of Study: |
Graduate |
| Course Coordinator: |
|
| Offered Semester: |
Fall Semesters. |
Course Content
Review of differentiable manifolds and tensor fields. Riemannian metrics, the Levi-civita connections. Geodesics and exponential map. Curvature tensor, sectional curvature. Ricci tensor, scalar curvature. Riemannian submanifolds. Gauss and Codazzi equations.
