6 and 7 question

6. Problem 5.2a: Show that the coordinate map x is.one-to-one and onto from the whole of R2 onto the whole of the annular hyperbolic plane. What maps to the annular strips, and what maps to the radial geodesics? 7. Problem 5.2b: Let A and / be two of the radial geodesics described in part a. If the distance between A and u along the base curve is w, then show that the distance between them at a distance s = no from the base curve is, on the paper hyperbolic model, Now take the limit as 6 -> 0 to show that the distance between A and u on the annular hyperbolic plane is we s/P