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Unformatted text preview: X is equal to L X f = X ( f ) . In local coordinates L X f = X i i f . Denition 5.2.2 Let be a 1form on M. The Lie derivative of with respect to X is a 1form L X dened by ( L X ) x = lim t 1 t * t t ( x ) x = d dt ( * t ) x t = We can immediately generalize this to pforms. Denition 5.2.3 Let be a pform on M. The Lie derivative of with respect to X is a pform L X dened by ( L X ) x = lim t 1 t * t t ( x ) x = d dt ( * t ) x t = di geom.tex; April 12, 2006; 17:59; p. 112...
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 Spring '10
 Wong
 Geometry, Derivative

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