Definition:Riemannian Submanifold
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Definition
Let $M$ be an immersed submanifold with or without a boundary.
Let $g$ be a metric induced on $M$.
Then $\struct {M, g}$ is called the Riemannian submanifold.
Sources
- 2018: John M. Lee: Introduction to Riemannian Manifolds (2nd ed.) ... (previous) ... (next): $\S 2$: Riemannian Metrics. Methods for Constructing Riemannian Metrics