the questions below for scientific debate(adsbygoogle = window.adsbygoogle || []).push({});

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)

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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

**Physics Forums | Science Articles, Homework Help, Discussion**