Write down the relation between a moving frame E, its differential, and its matrix of connection forms w. Let Ê be a moving frame related by Ê = EA, with A as an element of SO(3). Prove the connection matrix w of Ê is related to the connection matrix w by w = A-1 WA + A-1 dA

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Chapter2: Second-order Linear Odes
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Write down the relation between a moving
frame E, its differential, and its matrix of
connection forms w. Let É be a moving frame
related by Ê = EA, with A as an element of
SO(3). Prove the connection matrix w of Ê is
related to the connection matrix w by w = A-1
WA + A-1 dA
Transcribed Image Text:Write down the relation between a moving frame E, its differential, and its matrix of connection forms w. Let É be a moving frame related by Ê = EA, with A as an element of SO(3). Prove the connection matrix w of Ê is related to the connection matrix w by w = A-1 WA + A-1 dA
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