SOCHI, Russia—When Slovenia's Tina Maze and Switzerland's Dominique Gisin each posted the fastest time in the women's downhill on Wednesday, they became the first alpine skiers in history to tie for Olympic gold.

Shortly after their results were finalized, they took part in a small victory ceremony at Krasnaya Polyana, a precursor to the official medal ceremony which will take place later in Sochi's Olympic Park. The two skiers briefly stood atop the podium, with bronze medalist Laura Gut of Switzerland to their left and...