Abstract
General Relativity is founded on the concept of differentiable manifolds. The mathematical model of space-time that we adopt is given by a pair Open image in new window where Open image in new window is a differentiable manifold of dimension D=4 and g is a metric, that is a rule to calculate the length of curves connecting points of Open image in new window . This chapter introduces the basic notions of differential geometry, the definition of manifolds and fibre-bundles, differential forms, vector fields, homology and cohomology.
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