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Let w = x dz ^ dx + (yº + x°) dx ^ dy be a two-form on R³. Determine the one-form *d(tw), where ★ is the Hodge star operator in R³. *d(xw) dx + |dy+ dz

Let w = x dz ^ dx + (yº + x°) dx ^ dy be a two-form on R³. Determine the one-form *d(tw), where ★ is the Hodge star operator in R³. *d(xw) dx + |dy+ dz

Advanced Engineering Mathematics
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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Let w = x" dz A dx + (y° + x°) dx ^ dy be a two-form on R³. Determine the one-form *d(*w), where * is the Hodge star operator in IR°. dz dx + |dy+ *d(*w)
Transcribed Image Text:Let w = x" dz A dx + (y° + x°) dx ^ dy be a two-form on R³. Determine the one-form *d(*w), where * is the Hodge star operator in IR°. dz dx + |dy+ *d(*w)
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