Consider the one-form w = x dx +y dy + z dz on IR3, and the smooth function o : R → R³ given by $(t) = (cos(5t), sin(5t), 7t). Find the pullback one-form ø* w on R. dt. d*w =|

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Consider the one-form
w = x dx + y dy + z dz
on R3, and the smooth function o : R → R³ given by
$(t) = (cos(5t), sin(5t), 7t).
Find the pullback one-form ø*w on R.
$*w =
dt.
Transcribed Image Text:Consider the one-form w = x dx + y dy + z dz on R3, and the smooth function o : R → R³ given by $(t) = (cos(5t), sin(5t), 7t). Find the pullback one-form ø*w on R. $*w = dt.
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