Let w = e®(z+=) dy ^ dz+e" dz ^ dæ + e(z =) dæ A dy be a two-form on R³, and o : (IR>0)² → R³ be the smooth function $(u, v) = (In(uv), In(u+ v), In(uv)). Find o' w. d*w=| |du ^ dv

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Let
w = e8(z+2) dy ^ dz+e dz ^ dx+e®(z=2) dæ ^ dy
be a two-form on R³, and o : (IR>0)² →R³ be the smooth function
$(u, v) = (In(uv), In(u + v), In(uv)).
Find o*w.
$*w =|
du A dv
Transcribed Image Text:Let w = e8(z+2) dy ^ dz+e dz ^ dx+e®(z=2) dæ ^ dy be a two-form on R³, and o : (IR>0)² →R³ be the smooth function $(u, v) = (In(uv), In(u + v), In(uv)). Find o*w. $*w =| du A dv
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