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Immersed Submanifold
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Summary
An
Immersed Submanifold
is a manifold that is mapped into another manifold via a
Smooth immersion
, meaning the map is smooth and its differential is injective at every point. Unlike
Embedded submanifolds
,
Immersed Submanifold
s may have self-intersections or fail to be homeomorphic to their image in the
Ambient Manifold
.
Concepts
Differential Geometry
Smooth Manifold
Smooth Map
Immersion
Injective Differential
Self-Intersection
Homeomorphism
Tangent Space
Regular Value
Submersion
Submanifolds
Relevant Degrees
Geometry 100%
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