The Gauss–Bonnet theorem, or Gauss–Bonnet formula, is an important statement in differential geometry about surfaces which connects their geometry (in the sense of curvature) to their topology (in the sense of the Euler characteristic).
Teorema Gauss–Bonnet atau formula Gauss–Bonnet dalam geometri diferensial adalah pernyataan penting tentang permukaan yang menghubungkan geometri mereka (dalam arti lengkungan) ke topologi mereka (dalam arti karakteristik Euler).