Submanifold
Subset of a manifold that is a manifold itself; an injective immersion into a manifold
Submanifold
In mathematics, a submanifold of a manifold M {\displaystyle M} is a subset S {\displaystyle S} which itself has the structure of a manifold, and for which the inclusion map S → M {\displaystyle 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.
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