HONG KONG — Three stories of billboards alongside the Sunbeam Theater in Hong Kong were filled with images of performers in heavily painted faces and ornate headdresses.

But one, with an overly long red tie and a cloud of shiny yellow hair, was not like the others. You may have seen him before — on Twitter, on television, in the pro wrestling ring or the Oval Office.

It was President Trump, or at least an actor playing him, and he had come to one medium that has thus far resisted his presence: Cantonese opera.

The operators of the Sunbeam Theater, Hong Kong’s last commercial Cantonese opera theater, produced a three-and-a-half-hour show about Mr. Trump and China, which had a brief, four-day run last month.