submanifold
Sign in to savethumb|160px|Immersed manifold straight line with self-intersections In mathematics, a submanifold of a manifold M is a subset S which itself has the structure of a manifold, and for which the inclusion map S \rightarrow M satisfies certain properties. There are different types of submanifolds depending on exactly which properties are required. Different authors often have different definitions.
~5 min read
Article
8 sectionsContents
- Formal definition
- Immersed submanifolds
- Embedded submanifolds
- Other variations
- Properties
- Submanifolds of real coordinate space
- Notes
- References
thumb|160px|Immersed manifold straight line with self-intersections In mathematics, a submanifold of a manifold M is a subset S which itself has the structure of a manifold, and for which the inclusion map S \rightarrow M satisfies certain properties. There are different types of submanifolds depending on exactly which properties are required. Different authors often have different definitions.
==Formal definition==