I've been learning scapy, which is an awesome tool. I have a colleague who is doing some research and had a need for a tool that could modify IP packets in arbitrary ways either from a pcap file or on packets in real time. The prototype sets the IP evil bit, recalculates the checksum and forwards the new packet.
People management: concerned with the career growth, compensation, work satisfaction, etc of your reports. In a sense, this is a local extension of HR. Not a technical role. Must be well-versed in the issues related to employee effectiveness.
Project/Product/Program Management: concerned with planning, development, execution, and maintenance of products, services, etc. Should be technically competent but somewhat isolated from implementation.
Leadership: Inspires a team and fosters a culture optimized toward producing the desired result. Leadership skills are independent of other skills but complement them. Sometimes the action indicated by good leadership is contradicted by good management.
People managers deal in carrots, project managers deal in sticks, leaders deal in aspiration.