I spent many boring hours drawing optics diagrams at school, and probably bored the pants off some of the kids I then had to teach optics to later on. (These days the only 'optics' I'm interested in are the ones you find behind bars).
I simply can't see how such a mirror would work. Sorry!
Can't be bothered to go check on the Net but, IMO they ought to exist. Feel certain I've seen them marketed. Whether it's down to natural curvature or lens though, I'm unsure. I assume that you have done a websearch.