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https://arkadiusz-jadczyk.eu/blog/2017/05/sl2r-killing-vector-fields-coordinates

SL(2,R) Killing vector fields in coordinates

In Parametrization of SL(2,R) we introduced global coordinates $x^1=\theta,x^2=r,x^3=u$ on the group SL(2,R). Any matrix $A$ in SL(2,R) can be uniquely written as \begin{equation} A(\theta,r,u)=\begin{bmatrix} r \cos (\theta )+\frac{u \sin (\theta )}{r} & \frac{\cos (\theta ) u}{r}-r \sin (\theta )...



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SL(2,R) Killing vector fields in coordinates

https://arkadiusz-jadczyk.eu/blog/2017/05/sl2r-killing-vector-fields-coordinates

In Parametrization of SL(2,R) we introduced global coordinates $x^1=\theta,x^2=r,x^3=u$ on the group SL(2,R). Any matrix $A$ in SL(2,R) can be uniquely written as \begin{equation} A(\theta,r,u)=\begin{bmatrix} r \cos (\theta )+\frac{u \sin (\theta )}{r} & \frac{\cos (\theta ) u}{r}-r \sin (\theta )...



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https://arkadiusz-jadczyk.eu/blog/2017/05/sl2r-killing-vector-fields-coordinates

SL(2,R) Killing vector fields in coordinates

In Parametrization of SL(2,R) we introduced global coordinates $x^1=\theta,x^2=r,x^3=u$ on the group SL(2,R). Any matrix $A$ in SL(2,R) can be uniquely written as \begin{equation} A(\theta,r,u)=\begin{bmatrix} r \cos (\theta )+\frac{u \sin (\theta )}{r} & \frac{\cos (\theta ) u}{r}-r \sin (\theta )...

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