1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?