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: Today I go over converting between vectors and their duals, transformations of covariant
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: 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, ... This video shows how to modify the notion of the derivative to include the affine connection, guaranteeing that the (covariant) ... 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 Updated with a correction to the tangent vector magnitude formula. Thanks to Daniel McCammon for pointing out the error.
