The Lie Derivative: Physical Significance & Tensor Analysis

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what is the physical significance of the lie derivative? What is its purpose in tensor analysis?
 
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A good place to start would be to use the search function or, if you're looking for more precise results, a google search of lie derivative on this site gives you approximately 200 hits.
 
thanks for your help
 

Thread 'Injective immersion and embedding'

Hello! There is a simple line in the textbook. If ##S## is a manifold, an injectively immersed submanifold ##M## of ##S## is embedded if and only if ##M## is locally closed in ##S##. Recall the definition. M is locally closed if for each point ##x\in M## there open ##U\subset S## such that ##M\cap U## is closed in ##U##. Embedding to injective immesion is simple. The opposite direction is hard. Suppose I have ##N## as source manifold and ##f:N\rightarrow S## is the injective...
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