Abstract
We prove an ‘h‐principle without pre‐conditions’ for the elimination of tangencies of a Lagrangian submanifold with respect to a Lagrangian distribution. The main result states that such tangencies can always be completely removed at the cost of allowing the Lagrangian to develop certain non‐smooth points, called Lagrangian ridges, modeled on the corner {p=|q|}⊂R2$\lbrace p=|q|\rbrace \subset \mathbb {R}^2$ together with its products and stabilizations. This result plays an essential role in the arborealization program.