Consider a space with hyperbolic geometry (instead of Euclidean). We know that two objects are similar iff they are congruent. It is said that you can't capture a personal $3\times 4$ picture of yourself in such spaces:).
I am interested to know if we can develop a theory like that of convex and concave mirrors, in a hyperbolic space?
Well concave mirrors zoom in and convex zoom out.
What I'm trying to ask is: Are all mirrors in a hyperbolic space should be flat or we have other kind of mirrors?
I even don't know if we have a flat mirror in a hyperbolic spaces.
Thanks.