Keyboard cases for the iPad Mini have started to proliferate, with Belkin, Logitech, and others introducing new models. Logitech's $79.99 Ultrathin Keyboard Mini is a smaller version of its popular $99.99 Ultrathin Keyboard Cover for the larger iPad, and is about as good as it gets for iPad Mini keyboard/case options, although a couple of shortcomings should give you reason to pause before buying one.
Design
The relatively lightweight aluminum case/keyboard -- it weights just under 8 ounces -- acts as a screen cover for your iPad Mini and adheres magnetically like Apple's Smart Cover. When you're ready to use it, you pull it off and prop up the iPad in the slot built into the keyboard (yes, it connects to your iPad via Bluetooth).
Cosmetically, Logitech has done an excellent job matching the finish of the back of the iPad with the back of the keyboard, so the case really complements your iPad Mini (the keyboard is available in both black and white versions).
The only serious problem with it is that it doesn't protect the back of your iPad, which can get scratched up fairly easily if you aren't careful. Ideally, Logitech would have included some sort of simple sleeve to cover the whole package (iPad and keyboard) so you could tuck it stow in a bag (or wherever) without worrying about scratching up both the back of the iPad and the back of the keyboard. Of course, many people don't mind if their tech products get a nick or two, but some folks hate to see their iPads end up with a blemish. If you're concerned about that you could get a skin that would offer some protection against scuffing.
As it is, Logitech does include a small dust cloth because the top of the keyboard has a shiny finish and attracts fingerprints. The cloth is for wiping off the smudges.
Slightly cramped
Logitech says the keyboard offers "a traditional typing layout in a small 7-inch form factor, plus iPad Mini Function shortcut keys for the commands you use most often, such as copy and paste."