A hoverbike is a transport vehicle that can be found in works of fiction such as star wars, star trek, back to the future (all great movies by the way), etc.
It is used for personal transportation in the same way a modern bike is employed. One is expected to steer it like a normal vehicle, the only difference is the flying effect!
It is capable of flying and elevates itself some distance from the ground through some repulsion technology! A similar real-world device is the hovercraft, which elevates itself above a water or level hard surface using a cushion of air retained by a flexible skirt.
There is a hoverbike currently in the prototype phase. It was built by New Zealand engineer Christopher Malloy as a personal project. You can buy a prototype from him at the source. Make sure you check his page and all the amazing pictures of the hoverbike prototype!