Management is about handling things, people and situations that need attention to become or remain in a desirable state.
I manage people, I manage product flow, I manage data, I manage my lawnmower, I manage money...managed a small herd of horses once too...
Hard to call sharpening a lawnmower blade "about people"...but I manage people too (employees, neighbor's kids riding bikes on my lawn, relationships with friends, etc.), so ... Management is also about people.