MATH545 DIFFERENTIAL GEOMETRY I
| Course Code: | 2360545 |
| METU Credit (Theoretical-Laboratory hours/week): | 3 (3.00 - 0.00) |
| ECTS Credit: | 8.0 |
| Department: | Mathematics |
| Language of Instruction: | English |
| Level of Study: | Graduate |
| Course Coordinator: | |
| Offered Semester: | Fall Semesters. |
Course Objectives
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.