I want to know the answer to the following question:
Which battle left parts of Tibet under Chinese rule?
All the background I'm provided with is that "The eastern regions of Kham and Amdo often maintained a more decentralized indigenous political structure, being divided among a number of small principalities and tribal groups, while also often falling more directly under Chinese rule after the Battle of Chamdo; most of this area was eventually incorporated into the Chinese provinces of Sichuan and Qinghai.". Is that enough to answer the question?