Gauss-Bonnet theorem

Named after Carl Friedrich Gauss, who was aware of a version of the theorem but never published it, and Pierre Ossian Bonnet, who published a special case in 1848.

the Gauss-Bonnet theorem

1. (mathematics) An important statement about surfaces in differential geometry, connecting their geometry (in the sense of curvature) to their topology (in the sense of the Euler characteristic).

   Synonym: Gauss-Bonnet formula