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[University Physics/tensor calculus] Geometric interpretation of the coefficients of a tensor
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FrenchAndDepressed is
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University Physics/tensor calculus
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Hello,
What would be the geometrical interpretation of a tensor in a given direction ?
I’m currently studying a bit of tensor calculus and its applications.
A geometrical interpretation I’ve been given is that in the principal frame our tensor is represented by a diagonal matrix so Si xi2=1 hence the semi axis of the quadric are the (Si)-1/2.
But is there a simpler/more direct geometrical interpretation that uses the Sij instead ?
Thank very much in advance :)
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