Hello, (Continuing learner: new to all of this: patience requested, please.) What is the difference between a manifold and a submanifold? I have read and now been working with each. I understand the technical definitions (I think I do... but I do not have an intrinsic FEELING for these definitions). B Could someone explain the distinction in words for me? For example: is a submanifold a stepping stone to clearer definition of a manifold? Why define them? Are they really just the same thing and is the distinction made for pedagogical purposes?