Fire and the forge. He is the Greek god of blacksmiths, craftsmen.
Cerberus was not a ruler. It was the three-headed beast-guardian of the realm of Hades, Greek god of the underworld.
Tekhnê is a Greek goddess of art, and Hephaestus the Greek god of the art of sculpture/stone/metal-craft. Techne was less a goddess and more a personification. The arts were usually the realm of the Muses.
Ares, being a son of Zeus, didn't have his own realm (i.e. sky, underworld, ocean). He did have places that were sacred to him, and the Spartans, Myrmidons and Romans revered him most of all.
The god of fire
He was the Greek god of the sun his realm was the sun but in the original ancient Greek Parthenon he was one of the 12 Olympians of Mt. Olympus
The underworld, the realm of the dead.
The Greek goddess Aphrodite was the goddess of love.
Hypnos was the god of sleep.
Fire and the forge. He is the Greek god of blacksmiths, craftsmen.
Ares did not have a single kingdom or realm to rule. He was not a king. Ares was a Greek god.
Hades is the God of the Underworld, the dead, and riches. He protects the departed souls within his realm.
Hades is both the underworld in Greek mythology and the name of the god who presides over that realm.
Poseidon was a Greek god, god of the sea. He had no formal education, but would have become innately omniscient about his realm.
Poseidon is the god of the seas, creator of horses, etc. Basically, his domain is the oceans, the rivers, the lakes.
Cerberus was not a ruler. It was the three-headed beast-guardian of the realm of Hades, Greek god of the underworld.
Ares did have a realm his was most feared on the war filed snice he was the the god of war