📜 Theorem, law or theory

Gauss–Bonnet theorem

Teorema de Gauss-Bonnet

Date
1848 · confidence high
Place
Paris, Île-de-France, France
Credited to
Ossian Bonnet y Carl Friedrich Gauss
Field
Knowledge & symbols

What was discovered

A formula linking a surface's curvature to its underlying topology, developed by Gauss but left unpublished, and published as a special case by Pierre Ossian Bonnet in 1848.

What it led to

  • Global differential geometry
  • Surface topology
  • General relativity and spacetime geometry
  • Index theory and characteristic classes
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Made possible

Links

Sources✓ verified 2026-09-28