Handoff management in cellular networks involves detecting when a mobile device needs to transfer from one base station to another, assigning it a new channel on the target base station, and transferring the radio link. Key aspects of handoff management include handoff detection methods like mobile-controlled, network-controlled, and mobile-assisted handoff, dealing with fading effects on signal measurements, channel comparison and selection criteria, and addressing potential failures in the handoff process. Proper handoff detection and execution is important for maintaining call quality and reliability as users move between different parts of the cellular network.