Definition:Normal Bundle
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Definition
Let $M$ be a differentiable manifold.
Let $p \in M$ be a point in $M$.
Let $N_p M$ be the normal space at $p$.
The normal bundle of $M$ is the disjoint union of all the normal spaces of $M$:
- $\ds N M = \coprod_{p \mathop \in M} N_p M$
Sources
- 2018: John M. Lee: Introduction to Riemannian Manifolds (2nd ed.) ... (previous) ... (next): $\S 2$: Riemannian Metrics. Methods for Constructing Riemannian Metrics