Some of them are state-owned, but the two largest electric vehicle manufacturers in China are not. In descending order of revenue from electric vehicles (source: [1]):
* BYD (a publicly traded company, listed on the Hong Kong Stock Exchange)
* Geely (also traded on the HK Stock Exchange)
* BAIC (state-owned, sells a lot of plug-in hybrids)
* SAIC (state-owned)
* JAC motors (state-owned)
BYD and Geely's combined electric-vehicle revenue is significantly larger than that of BAIC, SAIC and JAC (combined). The electric vehicle market in China does not appear to be dominated by state-owned companies.
1. https://www.bloomberg.com/opinion/articles/2019-09-20/electr...