How did the Spaniards use Topa Huallpa and Manco Inca to govern the Inca Empire?

Following the execution of Atahuallpa, the Spanish utilized puppet rulers to maintain control over the Inca Empire by leveraging existing internal divisions.12

• Topa Huallpa: After realizing that Atahuallpa’s death had weakened their position, the Spaniards installed Topa Huallpa as a candidate they hoped would be acceptable to both factions of the Inca civil war. However, this strategy failed; Topa Huallpa was supported only by Huascar’s faction and was opposed by Atahuallpa’s followers, who viewed the Spaniards as allies of their rivals. Topa Huallpa died shortly after his coronation.12

• Manco Inca: Following Topa Huallpa's death, the Spaniards reaffirmed their alliance with Huascar’s supporters by placing his brother, Manco Inca, on the throne. They initially assisted him in dispersing the remnants of Atahuallpa’s army to consolidate power. Manco Inca initially served as a puppet ruler but eventually rebelled in 1536 after realizing he possessed little real authority, leading to a major uprising and his eventual retreat to an independent state in the mountains.123