Overview
Description
Manifolds, the tangent bundle, differential forms, exterior differentiation, Lie differentiation, Koszul connections, curvature, torsion, Cartan’s structural equations, integration of differential forms.
Units
Lecture3
Learning Outcomes
- perform local calculations in differential geometry: covariant derivatives, differential forms, curvature and tensor calculations.?
- explain the postulates of General Relativity.
- derive geodesic equations in a given spacetime and solve them in special cases.?