- #1
tazzzdo
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Homework Statement
H is the upper-half plane model of the hyperbolic space
Find all Mobius transformations that send M to N.
Homework Equations
a) M = {0, 1, ∞}, N = {∞, 0, 1}
b) M = {0, 1, ∞}, N = {0, ∞, 2}
c) M = {i, -i, 3i}, N = {∞, i + 1, 6}
The Attempt at a Solution
Using the transformation:
Could I develop two equations m(z) and n(z) that map M and N to {0, 1, ∞}, respectively? Then just find n-1[itex]\circ[/itex]m? Wouldn't that result in M→N?
If that's true, I'm just confused as to what points to use for z1, z2, z3.