Conformity and Compliancy in Geometry

This lecture covers the concepts of conformity and compliancy in geometry, focusing on angles and respecting them. It explains the conditions for a function to be conforming or compliant based on angle preservation. Examples illustrate subvarieties and Riemannian metrics induced by scalar products. The lecture also discusses the associated bilinear form and the concept of submanifolds. The instructor emphasizes the importance of being careful when dealing with these geometric properties.