Carbon Case Follow-Up Reply
I realized that I didn't really answer your question about the carbon fiber make-up of the case. Quite simply put, I don't know what the case is made from.
AYL Carbon Fiber iPad 2 Case
I will be happy to post some pictures for you - but it will be later tomorrow as we'll be gone for a good part of the day.
Someone posted a link to another case which they stated was a better option. That case also looks nice - but isn't available yet. It does have the "smart cover" concept included which is an advantage. That case has two grooves for standing and then a typing position as well as folding all the way back. This AYL case works just the same - although it has 4 grooves for standing.
And this case does NOT have the strap for holding on the back but yes - it does fold back entirely for holding with the left hand (or right).