prove that 1 Ə div A; = {√g grk Ak} = div A¹, Əx* where A; and Ai are the covariant and contravariant components of the same vector A.
prove that 1 Ə div A; = {√g grk Ak} = div A¹, Əx* where A; and Ai are the covariant and contravariant components of the same vector A.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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It is from tensor analysis
Transcribed Image Text:prove that
1 Ə
div A; =
√g dx² {√8 8² Ax} = div A³,
where A; and Ai are the covariant and contravariant components of
the same vector A.
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