Over is often used as a Preposition of Movement too.
Under / Below
Under and Below have a similar meaning. They mean at a lower level. (Something is above it).
• Your legs are under the table.
• Monsters live under your bed.
• A river flows under a bridge.
• How long can you stay under the water?
• Miners work below the surface of the Earth.
Sometimes we use the word underneath instead of under and beneath instead of below. There is no difference in meaning those they are less common nowadays.