What is Gauss-Bonnet theorem?
[[File:Gauss-Bonnet theorem.svg|thumb|300px|An example of complex region where Gauss-Bonnet theorem can apply. Shows the sign of geodesic curvature.]] The '''Gauss-Bonnet theorem''' is a [[theorem]] that connects the [[geometry]] of a [[shape]] with its [[topology]]. It is named after the two [[mathematician]]s [[Carl Friedrich Gauß]] (1777-1855) and [[Pierre Ossian Bonnet]] (1812-1872) who both found it, independently of one another. The [[Curvature]] of the shape is used, as well as its [[Euler characteristic]]. {{math-stub}} [[Category:Mathematical theorems]] [[Category:Differential geometry]] [[Category:Topology]]