Facebook Graph Api search events

I thought it was a simple thing but I was wrong, I would like to have the list of public events of a page (such as the redbull)
I tried this but without luck:

/14226545351/events

Also I would like to know if it was possible to search for events by keyword, I tried this but without luck:

/search?q=run&type=event

I generated an access token, with the right permissions (I think) but in both cases I read

{
  "data": [
  ]
}