Christoffel symbols of a connection: Difference between revisions
(New page: ==Definition== Let <math>M</math> be a differential manifold, <math>E</math> a vector bundle over <math>M</math>, and <math>\nabla</math> a connection on <math>E</math>. The '...) |
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Latest revision as of 19:34, 18 May 2008
Definition
Let be a differential manifold, a vector bundle over , and a connection on . The Christoffel symbols of are a way to describe this connection using a set of numbers, that vary from point to point.
To describe the Christoffel symbols, we choose a local coordinate chart Fill this in later