Ultra thin DNA case... Nillkin case, $8.20 on eBay.
This Nillkin case doesn't have the dots found on most of the other Nillkin cases, it has a smooth back. Perhaps more slippery, but I didn't care for the look of the other Nillkin cases.
Probably only provides scratch protection, not sure how this would fair in a fall, but it adds nearly nothing to the overall size of the DNA, and it also shows some of the red highlights! Also came with a dry apply screen protector, which, while I wasn't originally going to put a screen protector on my DNA, I decided to give it a try for a few days. So far, it doesn't seem to diminish from the feel or smoothness of the phone.
The case does leave the top and bottom edges exposed, other then a thin lip around it. However, I'd imagine that it'd be pretty hard to drop your phone right on the top or bottom edge, in such a way that you'd damage it. The phone will either land on a corner, or on it's face or back, so this isn't that concerning. Even if it does drop directly on it's top/bottom edge, there is a lip the case provides, for some protection.
The photos of this case make it appear black, and therefore, somewhat difficult to photograph. However, I was pleased to find that the case is more of a dark grey/metallic color, that's actually much nicer then simple black.
The case curves at the back in the same way as the DNA's curve, narrowing at the edges. It provides "some" protection, while adding nearly nothing to overall size, and retaining the DNA's profile.