We used to call them "Western Bars" on the old SuperHawks. The stock 'Hawk bars were flat, but bent back like you would expect: for guys (like me) who suffered low-flex backs and had to sit higher, Honda offered the "Western" bar. It was like a 19mm (3/4") rise in an otherwise flat bar, and about 3" wider overall.
The thing I liked best about them: at 70 MPH, there was almost NO WEIGHT on my wrists, as the air lifted my chest by just the right amount and angle. I could tour all day with those bars, and did!