Read an article yesterday about their being women competing in every event that the men do at the Olympics, but not the other way. There is no male rhythmic gymnastics or synchronized swimming. Apparently some men have petitioned the IOC to make some changes, but I don't see it happening. I googled male sync swimming, and all I could find was some drunk guys joking around for their wives. I don't know how seriously the petitioners are though.
ETA: Just watched the videos above. Some of that looks more like dance than gymnastics to me. I'm not convinced.