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Math Help - Multiplication of diffeomorphisms

  1. #1
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    Multiplication of diffeomorphisms

    Given two diffeomorphisms A and B, each of which is also a vector field, that is,
    each entry of A or B is a vector. For example,

    A = \begin{bmatrix} (a,b) & (c,d) & (e,f) \\ (g,h) & (i,j) & (k,l) \\ (m,n) & (o,p) & (q,r) \end{bmatrix}

    Does anybody know how to calculate the product of A and B?

    Thanks!
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  2. #2
    Super Member Rebesques's Avatar
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    Multiply as you would with real matrices, only now use dot products instead of multiplications.
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