The incident occurred at about 2 p.m. when the landing gear failed on a single-engine Yak, a Russian military trainer plane, San Mateo County airport business manager Christopher St. Peter said.
The one person onboard the plane was not injured, he said. There were no problems with the plane's descent onto the runway.
It wasn't until after the wheels had come down for the landing when one of them folded back up into the plane, causing "minimal damage" to the aircraft, St. Peter said.
"It just kind of came to a stop," he said of the plane.
The aircraft has been removed and the runway was open as of 4 p.m., he said.