| Code |
Course Name |
Language |
Type |
| MAT 458E |
Riemannian Geometry |
English |
Elective |
| Local Credits |
ECTS |
Theoretical |
Tutorial |
Laboratory |
| 3 |
6 |
3 |
0 |
0 |
| Course Prerequisites and Class Restriction |
| Prerequisites |
MAT 201 MIN DD
or MAT 201E MIN DD
or MAT 210 MIN DD
or MAT 210E MIN DD
or MAT 232 MIN DD
or MAT 232E MIN DD
|
| Class Restriction |
None |
| Course Description |
| Transformation of coordinates, covariant and contravariant tensors, metric tensor, Riemannian metric, Riemannian space,
Christoffel 3-index symbols, covariant differentiation, Levi-Civita connection, curvature of a curve, geodesics, parallel transport,
geodesic and Riemannian coordinates, Riemann curvature tensor, Ricci tensor, special Riemannian spaces (Einstein, Symmetric,
Recurrent etc.), Hypersurfaces of Riemannian spaces, second fundamental form, Gauss and Mainardi- Codazzi equations. |
|
