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Metric preserving group

  1. Mar 29, 2010 #1
    1. The problem statement, all variables and given/known data
    Show that the real linear transformations of Rn preserving a real symmetric metric  form
    a matrix Lie group, and that the group is determined up to isomorphism by the number
    p of positive eigenvalues of , the number q of negative eigenvalues of , and the number
    r of zero eigenvalues of , with p + q + r = n.

    Does anybody know how to do this? Thanks
    2. Relevant equations

    3. The attempt at a solution
  2. jcsd
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