👉 In mathematics, a submanifold is a subset of a manifold which is locally similar to an open subset of Euclidean space. It represents a structure in the sense that it can be defined by specifying its tangent vectors at each point. A submanifold is not necessarily a submanifold of itself, as this would require the entire manifold to be contained within the submanifold. Instead, a submanifold is often considered a subset of an open set or a neighborhood of a given point
