nLab
normal vector
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Context
Linear algebra
homotopy theory , (∞,1)-category theory , homotopy type theory

flavors: stable , equivariant , rational , p-adic , proper , geometric , cohesive , directed …

models: topological , simplicial , localic , …

see also algebraic topology

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Paths and cylinders

Homotopy groups

Basic facts

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Idea
Given an inner product space $(V, \langle -,-\rangle)$ then two vectors $v,w \in W$ are normal to each other if they are orthogonal to each other, in that their inner product vanishes: $\langle v,w\rangle = 0$ .

Given an embedding of differentiable manifolds $i_X \colon X \hookrightarrow Y$ where $Y$ carries Riemannian geometry structure, then the normal bundle of $i_X$ is the vector bundle of tangent vectors in $Y$ that are normal to tangent vectors of $X$ .

Last revised on February 4, 2021 at 11:08:28.
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