In her comments about Gregory Hines today, Cindy Adams makes a tells a story about Hines and Mikhail Baryshnikov making a movie in the Soviet Union: "He loved his time with Mikhail Baryshnikov ... when director Taylor Hackford was filming "White Knights" in the USSR with Misha and Greg."
Aside from the fact that the name of the movie is White Nights (something that would 15 seconds for a chimp with an internet connection to fact-check), the fact is that Baryshnikov, as a defector, would have been immedately arrested and "re-educated" (most likey with rubber hoses and brass knuckles) the second he set foot in the Soviet Union. Indeed, the plot of the movie is built around what might happen if a famous dancing defector was on-board an airliner that was forced to crash-land in the USSR...
For the record, White Nights was actually shot in Finland.