nLab
normal vector

Contents

Idea

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

Given an embedding of differentiable manifolds i X:XYi_X \colon X \hookrightarrow Y where YYcarries Riemannian geometry structure, then the normal bundle of i Xi_X is the vector bundle of tangent vectors in YY that are normal to tangent vectors of XX.

Created on May 25, 2017 at 11:23:08. See the history of this page for a list of all contributions to it.