When you get at the top of the statue head for a head holding a lantern. Use an Amulet to regenerate the Apollo's Head.
In the middle of the lower part of room you find a great crystal with a podium over it. Jump onto a crystal and push over the podium. When you jump down, the crystal lifts up.
Now a longer encounter with few waves of enemies awaits. You'll be attacked firstly by ghosts and then a spectre.
When you defeat them, a bigger Satyr and another spectre appear.
At the end, you'll face two Witches and a Spectre. It's the hardest part of this battle – you should save some mana for this.
After a fight, drag a stone platform on left and jump through it onto an upper level. Here you find a chain to slide out a metal cage and a lever which lowers the ray of light. Lower it. It also lifts the wooden hatch, through which you can jump back here without the stone podium.
Jump down and place the podium under the elevation on right. Jump onto it, collect red chest and use ladder.
Being under the cellar, open two white chests and go left.
You run into conveyor belt, with a drill rotating over it. You have to go on a beginning of the conveyor belt, place your clone there and then run to the ladder before the drill blocks you here.
Run quickly to the lowest level, go left and jump over the lever using a hatch. Grab the nearby chain and slide out the cage, before your clone falls onto a crystal.
When clone falls, the crystal falls also and stops onto the pulled out element. Let the chain go to block the crystal.
Use a ladder which slides down after the cut scene. On its top you'll see how Kratos attacks the Manticore and lands in the Lantern.