Hi,
https://www.openstreetmap.org/way/1282375878, https://www.openstreetmap.org/way/1282375879 and https://www.openstreetmap.org/way/1282375881 are no riding centres. https://www.openstreetmap.org/way/962996369 is an example for a riding centre. Please have a look at https://wiki.openstreetmap.org/wiki/DE:Tag:leisure%3Dhorse_riding