normal vector

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 $X$.

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