Is geometric mean return and time-weighted rate of return the same thing?

CFA Level I
#1

are they the same thing? They both seem to use the same formula.

#2

Yes they are.

Geometric mean in general refers to this setup

(r1xr2)^1/2 or (r1xr2xr3)^1/3

as opposed to arithmetic mean which uses

(r1+r2)/2 or (r1+r2+r3)/3

Time weighted return also uses a multiplication setup so it is a geometric mean by definition.