I am trying to come up with a diffeomorphism of the upper half plane $y> 0$ onto the first quadrant $x> 0 , y> 0$
Can anyone come up with such a diffeomorphism?
I am trying to come up with a diffeomorphism of the upper half plane $y> 0$ onto the first quadrant $x> 0 , y> 0$
Can anyone come up with such a diffeomorphism?
Why not $(x,y)\mapsto (e^x, y)$?