External mirror apparatus for a motor vehicle, motor vehicle

An external mirror apparatus for a motor vehicle, including a mirror housing and including at least one flow guiding element arranged on an outside of the mirror housing for the purpose of influencing an air flow at the external mirror apparatus. It is provided that a display apparatus is arranged in a recess of the mirror housing, in particular for a warning device of the motor vehicle, and the flow guiding element is arranged next to the display apparatus as an eddy generator and has a flow separation edge, which extends at least essentially in parallel to the display apparatus and projects away from the mirror housing.