Convex integration theory without integration

We replace the usual Convex Integration formula by a Corrugation Process and introduce notion of Kuiper differential relations. This provides natural framework for construction solutions with self-similarity properties. consider case totally real relation, we prove that it is state isometric embedding theorem. then show embeddings obtained exhibit property. relations also enable uniform expression no longer involves integrals. apply to build new explicit immersion $${\mathbb {R}}P^2$$ inside {R}}^3$$ .