No guards here, the only hazard is falling. There is no sneaking and Shadowjump here, only regular platforming. Jump along the pillars, kick the rock pile, then proceed across the rickety bridge. At this point, you have to wait a bit on the shadow, then when the ability is full, you can now see the pink platforms. Jump across to the next obelisk and the ruined Shadow gate.
When you activate the round pressure plate, a large floating rock begins to move back and forth across the chasm. When you are in its shadow, you can step on the pink platforms, but keep up with the rock, else you will lose shadow connection and fall.