SL(2,R)/SO(2,r)=H^2(2dim hyperbolic space)
the questions below for scientific debate
1.how to understand SL(2,R)/SO(2,r)=H^2(2dim 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 Tset,how to see Euler number (M)=Euler number (M^T) (This was a PM to me) 
Re: group
These questions are not "Calculus and Analysis". I'm moving it to "Topology and Geometry".

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