English Explanatory Dictionary

Gauss-Bonnet theorem

English dictionary entry

Meanings

name
  1. 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).

Word forms

Gauss-Bonnet theorem the Gauss-Bonnet theorem

Etymology

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.

Synonyms

Gauss-Bonnet formula
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