If we have an inmersed surface $S$ in $\mathbb{R}^3$ we can define a unit normal vector in every point $p \in S$. This way we obtain a smooth map
$$ N: S\rightarrow \mathbb{S}^2 $$From it we can define the Weingarten map.
________________________________________
________________________________________
________________________________________
Author of the notes: Antonio J. Pan-Collantes
INDEX: