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Understanding Lie Derivatives in Geometry by rachit is a document available to read on EtoBox.
What is Understanding Lie Derivatives in Geometry about?
The Lie derivative evaluates the change of a tensor field along the flow defined by a vector field in a coordinate-invariant way. It can differentiate functions, tensor fields, and forms with respect to a vector field. The Lie derivative of a vector field with respect to another is known as the Lie bracket. It has properties such as commuting with contraction and the exterior derivative on differential forms. The Lie derivative can be defined using flows, or algebraically through axioms like obeying Leibniz
- Author
- rachit
- Language
- EN