The Lie derivative of a contravariant vector x is (a) Show that LEX = lim 8-0...
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The Lie derivative of a contravariant vector x" is (a) Show that LEX" = lim 8-0 (a) Show that свадхи ден əxa and verify that this has the alternative form əxa x"(x) - X¹¹ (x) E LEX"(x) = a (b) Show that L X"=-x". The Lie derivative of a contravariant tensor Avis LAV = lim 8-0 LEX"(x)= "X" - ¹aX α- - Aμv ден LAV=&a əxa əxa and verify that this has the alternative form Av (x) - A'(x) E - LAVA - ¹ = ;α -xa -Aav ὃξ" əxa Ala Ava (b) Using the results stated in the preceding problem, show that for two contravari- ant vectors A" and B", LA B = ALB" + BLA The Lie derivative of a contravariant vector x" is (a) Show that LEX" = lim 8-0 (a) Show that свадхи ден əxa and verify that this has the alternative form əxa x"(x) - X¹¹ (x) E LEX"(x) = a (b) Show that L X"=-x". The Lie derivative of a contravariant tensor Avis LAV = lim 8-0 LEX"(x)= "X" - ¹aX α- - Aμv ден LAV=&a əxa əxa and verify that this has the alternative form Av (x) - A'(x) E - LAVA - ¹ = ;α -xa -Aav ὃξ" əxa Ala Ava (b) Using the results stated in the preceding problem, show that for two contravari- ant vectors A" and B", LA B = ALB" + BLA
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Related Book For
College Mathematics for Business Economics Life Sciences and Social Sciences
ISBN: 978-0321614001
12th edition
Authors: Raymond A. Barnett, Michael R. Ziegler, Karl E. Byleen
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