Riemannian Geometry and Tensor Calculus - APM4806 |
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| Honours | Year module | NQF level: 8 | Credits: 12 |
| Module presented in English | Module presented online | ||
| Purpose: Vectors and tensors in general coordinate systems. Covariant differentiation. The Riemann curvature tensor and associated tensors. The Weyl tensor and conformal metrics. Lie derivatives. Description of hypersurfaces. This module may be taken independently of APM4804, but it has been set up to provide the necessary mathematical background for a proper study of general relativity. It is concerned with the description of an N-dimensional non-Euclidean space referred to arbitrary coordinates. | |||