A (infinitely differentiable) manifold is said to be a submanifold of a manifold if is a subset of and the identity map of into is an embedding.
See alsoEmbedding, Manifold, Subfield, Subspace
Cite this as:
Weisstein, Eric W. "Submanifold." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Submanifold.html