Greek philosopher. believed Earth was stationary and there was a fixed dome around the stars

The Greek philosopher you are referring to is Aristotle. He believed that the Earth was stationary at the center of the universe, and surrounding it was a series of concentric celestial spheres. These spheres contained the stars, planets, and other celestial bodies, and were believed to be fixed and immovable. This concept is known as the Aristotelian, or geocentric, model of the universe.