I hope that you will explore the concept that mangement reaches out in all directions, however. This is especially true when you're at tier 2, where you first have direct reports. You need to "manage" your team (down), your co-managers on other teams (sideways) and your boss (up). In any sort of matrix organization, there's usually a diagonal component as well but it depends on the project structure, etc.

Regardless, if you write the book, I will buy it. I'll also remember to point at myself when reading the True Title....