Welcome! In this video, I want to define the Levi-Civita symbol and the Kronecker delta. And more importantly, I want to derive what I think is a fantastic relationship between
The Remarkable Relationship between the Levi-Civita Symbol and the Kronecker Delta | Deep Dive Maths
i is not equal to j, so something like delta 1,2 or delta 1,3 would be 0. That's the Kronecker Delta, the other symbol is the Levi Civita symbol, that's an epsilon. This is an epsilon that has three indices i, j and k of course you don't
Kronecker delta and Levi-Civita symbol | Lecture 7 | Vector Calculus for Engineers
D-Theta. But how do we extract this information from the metric tensor? Well to do that we need to invoke something called the Levi-Civita connection. For infinitesimals like this, this connection is expressed as a simple equality stating that the change in our
Conceptualizing the Christoffel Symbols: An Adventure in Curvilinear Coordinates