Lincoln Center canceled its summer programming on Thursday, spiking the Mostly Mozart Festival, Midsummer Night Swing and Lincoln Center Out of Doors events because of the continuing threat of the coronavirus pandemic.

It was yet another signal that large-scale cultural performances may not go forward even well into the summer. On Wednesday, Broadway announced it would remain closed at least through June 7. But industry leaders said they expected the theaters to remain shut at least a month longer than that, and possibly through Labor Day.

At a news conference on Wednesday, Gov. Andrew M. Cuomo said it was too early to determine when large gatherings like plays or concerts could resume.

“Before you go to Broadway theaters,” he said, “people are going to say, ‘When can I go back to work? When can I go back to school? When are the other essential services going to open?’ Before they go to a play, there’s going to be a lot of other questions that they’re going to ask, and that’s going to be a function of numbers.”