SL(2,R)/SO(2,r)=H^2(2-dim hyperbolic space)

  1. the questions below for scientific debate
    1.how to understand SL(2,R)/SO(2,r)=H^2(2-dim hyperbolic space)
    2.Let M be a compact manifold ,T compact lie group,what can we say about
    M^T(the set of fixed points of M under the action of T),is M^T manifold?
    how to argue?further,if T is torus,and M is T-set,how to see

    Euler number (M)=Euler number (M^T) (This was a PM to me)
     
    Last edited by a moderator: Nov 26, 2008
  2. jcsd
  3. HallsofIvy

    HallsofIvy 40,367
    Staff Emeritus
    Science Advisor

    Re: group

    These questions are not "Calculus and Analysis". I'm moving it to "Topology and Geometry".
     
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