Media Summary: In this video we derive an expression for the metric-compatible, torsion-free connection coefficients, the Christoffel symbols. PDF link if you want a more detailed explanation: This video is the first part of a series on
Tensor Calculus For Physics Ep - Detailed Analysis & Overview
In this video we derive an expression for the metric-compatible, torsion-free connection coefficients, the Christoffel symbols. PDF link if you want a more detailed explanation: This video is the first part of a series on Today I go over converting between vectors and their duals, transformations of covariant Today we derive the expression for curl in a general covariant notation. We do this by promoting vectors to covariant vectors, ... Today we generalize the concept of divergence and the laplacian into their covariant forms by substituting the usual del operator ...
Dan Fleisch briefly explains some vector and This video shows how to modify the notion of the derivative to include the affine connection, guaranteeing that the (covariant) ... In todays video I look at the transformation properties of the affine connection coefficients to see if they transform as