Yes, it is an exhaust fan that is mounted at the ceiling. It is not very effective, because a great deal of the smoke and grease will have distributed everywhere before it can reach the ceiling. It is for people with more money than the desire for an effective hood.

Also, to clean it you will have to climb a ladder, take down the filters, clean them, then climb back up the ladder to put the filters back while teetering on the ladder. Understandably, people procrastinate on this. The grease can build up inside the ceiling filter and start dripping droplets down onto the cooktop.

The ideal distance from the cooktop to the bottom of the exhaust hood is between 30"-36". That is low enough for good capture of smoke and grease, but not so low as to make the cooking space feel claustrophobic the way an over-the-range microwave does.

"Also, to clean it you will have to climb a ladder, take down the filters..." They'll be up there anyway cleaning grease and splatter off the windows. (Or their cleaning help will be.) It looks pretty in this picture, but I can't imagine it will stay looking so nice without consistent effort.

Thanks - that’s what I thought too but just wanted to check because it looks so nice!