All of the Swan sisters' names derive from "Anna Karenina" - Anna, Karen and Nina.
There are numerous references to the book "Anna Karenina". They include, but are not limited to: Anna going out to skate the first time she meets Danny, the lecherous brother, the final scene involving a train.
As of 2018, the by-now out of print MGM laserdisc is the source for those wishing to see this film in its original 1.85:1 widescreen aspect ratio.
Jude Law reads to Nina Tolstoy's Anna Karenina. Jude Law plays Karenin the eponymous heroine's husband in Joe Wright's upcoming film, Anna Karenina.