A diffeomorphism f :
E' between surfaces is a conformal map, if there is a non-
vanishing function A so that
for all P € and X E TpL The function l is called the conformal factor.
Let Q : u
V be an orientation preserving diffeomorphism of open subsets of R²
and write (u,v) = (D1(u,0), , I2 (u,v)) . Show that Q is conformal if and only if
201 202 and 001 002
Give an expression for the conformal factor.
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