1
$\begingroup$

I was reading somewhere (sorry I always forget where) that the scale of the Poincare Half plane is y (the vertical)

So at the boundary line the scale is $ 0 $ or $ ( 1 : \infty ) $.

at the horocycle $ y = 1 $ the scale is $1:1$ and

at $ y = \infty $ the scale is $ \infty$ and all vertical lines and hypercycles meet .

now I was wondering what is the scale function for the other models of the hyperbolic plane, escpecially for the Poincare disk model and the Klein disk model?

$\endgroup$

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Browse other questions tagged or ask your own question.