Normal bundle
= Normal bundle
{wiki=Normal_bundle}
In differential geometry, the **normal bundle** is a specific construction associated with an embedded submanifold of a differentiable manifold. It provides a way to understand how the submanifold sits inside the ambient manifold by considering directions that are orthogonal (normal) to the submanifold. \#\#\# Definition Let \\( M \\) be a smooth manifold, and let \\( N \\subset M \\) be a smooth embedded submanifold.