Hello Christoph
It is the Farrier of the unit and is responsible for the care of the horses, main duty in war is to lop off the hoof from dead or destroyed horses which has the regimental number to proove that the horse has been lost and not stolen or sold by the rider.
The Pointed part of the axe at the rear is designed to despatch the horse and the blade to remove the hoof.
The Farrier carried out some of the duties of a blacksmith but I believe is not actually a blacksmith.
A look through a good book of blacksmiths. Farriers will explain better than I can.
Kindest regards
Bob