nLab
submanifold

Contents

Contents

Idea

A submanifold is a manifold inside another manifold.

Definition

For a homomorphism of differentiable manifolds

XY X \hookrightarrow Y

to qualify as a submanifold inclusion it is usually required to be an embedding of differentiable manifolds, hence

  1. an embedding of topological spaces;

  2. an immersion of differentiable manifolds.

References

See also

Last revised on July 4, 2017 at 05:47:10. See the history of this page for a list of all contributions to it.