Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Rotaion group

  1. May 2, 2008 #1
    I was wondering if anyone can help me to show that the subset of SO(3) contaning all
    matrices A with det(A+id)=0 is a submanifold diffeomorphic to real projective plane.
    Thanks.
     
  2. jcsd
  3. May 2, 2008 #2

    Hurkyl

    User Avatar
    Staff Emeritus
    Science Advisor
    Gold Member

    Well, what ideas have you had on it so far? Where are you stuck?
     
  4. May 2, 2008 #3
    Actually, I could show that SO(3) is homeo. to RP^3. But on don't know why the condition det(A+id)=0 implies that this subset would be diffeo. to RP^2.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: Rotaion group
  1. Funndamental Groups (Replies: 14)

  2. The Fundamental Group (Replies: 19)

  3. Fundamental Group (Replies: 3)

  4. Lie Groups (Replies: 7)

  5. Group cohomology (Replies: 2)

Loading...