Definition:First Fundamental Form

Definition
The first fundamental form is the inner product on the tangent space of a Surface in three-dimensional Euclidean space which is induced canonically from the [Definition:Dot Product|dot product]] of $\R^3$:


 * $\operatorname I \left({x, y}\right) = \left\langle x, y \right\rangle$

Also see

 * Definition:Second Fundamental Form