Oil Prices Climb as Ukraine Crisis Deepens.

“It was as if we were on a fast-moving train, rushing toward the finish,” Mr. Ratmansky said of the rehearsal period, in an interview on Saturday. “The news was bad, but I was absolutely torn between creation, love and desperation — all these words. I thought, if actual military action begins, I won’t be able to continue, but until then, I’ll try to ignore the news and be professional and just do my work.”

The ballet, set to Bach’s “Art of the Fugue,” was to have its premiere on March 30 but has been postponed indefinitely. The head of the Bolshoi’s press office, Katerina Novikova, when asked for a comment, pointed to a statement on the theater’s website, which says that it was postponed after “negotiations with the staging team.”

The ballet has not been officially canceled. The statement says: “This project is extremely important to the Bolshoi Theater, a significant amount of work has been already done by now, and we hope to be able to realize this project.” Mr. Ratmansky is quoted too, saying “when the time comes, I hope to return to Moscow to complete the production.”

But after watching the brutality of the invasion, he said he was not sure when that would be. Much of his family lives in Ukraine. “I doubt I would go if Putin is still president,” he said.

On Wednesday night he had gone to sleep in his room at the Metropol Hotel, across a plaza from the Bolshoi, worried by the ominous reports he was seeing in the international media of massed Russian troops along the border with Ukraine. But, he said, he was not expecting the full-scale assault that would follow hours later. “I thought nothing was going to change” he said, “there has been conflict with the separatists along the border since 2014.” His wife, Tatiana, woke him up on Thursday morning, calling him from New York with the news. “The first thing I did was call the Bolshoi and arrange to leave.”

In addition to “The Art of the Fugue,” Mr. Ratmansky has another, even larger project that now seems unlikely to be completed any time soon: a lavish, historically-informed production of the 1862 Petipa ballet “The Pharaoh’s Daughter,” for the Mariinsky Ballet in St. Petersburg.

“The Pharaoh’s Daughter” was to have its premiere in mid-May, but Mr. Ratmansky has informed the Mariinsky that, given the situation, he would not be able to return to finish the ballet in April as planned.

Mr. Ratmansky is Ukrainian and Russian. His parents, sister, nieces and nephews live in Kyiv, as does the family of Ms. Ratmansky, who is Ukrainian.

Mr. Ratmansky remains in frequent phone contact with his family. His parents, in their 80s at first took shelter in the basement of their building in the downtown area, before driving to a small country house about an hour from the city. Other family members were taking shelter in underground garages and basements.

They are all safe for now, and, Mr. Ratmansky said, “trying to keep good spirits.”

Asked whether the current conflict had brought back wartime memories for his mother, who experienced the Siege of Leningrad, and his father, who had to be evacuated from Kyiv ahead of the Nazi invasion and lost several family members to the Holocaust, Ratmansky said, “we haven’t spoken about that. We just talk about, ‘are you OK?’”

The repercussions of the Russian invasion are already being felt in Russia’s cultural circles. The conductor Valery Gergiev, who is close to Mr. Putin, has had concerts canceled at Carnegie Hall. The Munich Philharmonic, where Gergiev is principal conductor, threatened to terminate his contract if he did not speak out against the invasion, as did La Scala in Milan. A Bolshoi Ballet tour to the Royal Opera House in London this summer has been canceled. Russia was even disinvited from the popular Eurovision Song Contest.

“Both of these projects are very close to my heart,” Mr. Ratmansky said of his ballets. “But at the moment, the only thing that matters is that Ukraine survives, keeps its independence, and that our families stay alive.”