et e2(x+2) dy A dz + e¯Y dz ^ dæ + ez-2) dæ ^ dy W = e a two-form on R³, and ø : (R>0)² → R³ be the smooth function $(u, v) = (In(uv), In(u + v), In(uv)). ind ø*w. du Л 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 = e2(x+z) dy A dz + e¯y dz ^ dæ + ez-2) dx ^ dy
be a two-form on R, and o : (R0)? → R³ be the smooth function
$(u, v)
(In(uv), In(u + v), In(uv)).
Find o*w.
6*w =
du A dv
Transcribed Image Text:Let w = e2(x+z) dy A dz + e¯y dz ^ dæ + ez-2) dx ^ dy be a two-form on R, and o : (R0)? → R³ be the smooth function $(u, v) (In(uv), In(u + v), In(uv)). Find o*w. 6*w = du A dv
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