Product management is

I believe that product management is:

Process

This word has taken a negative meaning, associated to excessive bureaucracy that stiffens creativity. I interpret it instead as the creative process of a jazz group, where the various parts work together to create something harmonious.

Decomposition

To solve the hitch the customer is facing there is need of synthesis. Work progressively on each layer of the problem to find the minimal implementation.

Situational

Frameworks and past experiences help to navigate, but, product management is being open to constantly realign the roadmap as new information arise. Even if it means to publicly admit an error.