The pilot reported that he was instructed by air traffic control to enter a right downwind following a [corporate] jet that was on final approach, and he was warned about wake turbulence. The pilot further stated that as he observed the jet pass by, he turned to watch it land so he could land beyond its touchdown point. The pilot revealed that in doing so, this interrupted him from completing his landing checklist and he failed to extend the landing gear. The airplane subsequently landed gear up which resulted in substantial damage to the airframe. The pilot reported no mechanical malfunctions or failures with the airplane that would have precluded normal operation.