With the hallway you came from to your back, approach the edge of the walkway. Jump to the sloped pillar and do not do anything. Lara will slide the slope and land on the beam below.

Walk to the other side and jump to grab the handhold on the pillar ahead. Traverse to the left around the corner and jump back to land on top of the pillar behind you. Carefully, step on the beam and walk to the other side. Jump to grab the narrow ledge on the next pillar.

Traverse to the right around the corner. Pull up on the wider part and turn around. Perform the Chimney Jump to grab the walkway above and pull up.