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Math Help - symmetry and tensor

  1. #1
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    symmetry and tensor

    a body has the symmetry that its shape is unchanged by arbitrary rotations around axis, e_3, Show that any second-rank tensor calculated for the body will take the form:

    3*3 matrix:

    a b 0
    -b a 0
    0 0 c
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  2. #2
    Super Member Rebesques's Avatar
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    There is Euler's theorem, that says that a rotation around an axis is given by a 3\times 3 matrix of the form \begin{Bmatrix} {\bf A} & 0 \\ 0 & 1 \end{Bmatrix}, where the matrix {\bf A} is a rotation of the plane.
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