Physics The Einstein-Hilbert Action This post describes how to derive the field equation of General Relativity from the Einstein-HIlbert action.
Differential Geometry Covariant Derivatives of Tensor Fields This post discusses covariant derivatives of tensor fields.
Mathematics Curvature Tensors This post discusses the concept of curvature in manifolds and various tensor fields which measure this curvature.
Mathematics Covariant Derivatives This post discusses the concept of a covariant derivative on a smooth manifold.
Differential Geometry Smooth Manifolds This post examines the basic properties of smooth manifolds and gives a few detailed examples.
Mathematics Tangent Spaces This post contains a detailed explanation of the concept of the tangent space at a point on a smooth manifold.
