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theorems:gauss_bonnet

Gauss-Bonnet Theorem

Intuitive

Explanations in this section should contain no formulas, but instead colloquial things like you would hear them during a coffee break or at a cocktail party.

Abstract

The motto in this section is: the higher the level of abstraction, the better.

Why is it interesting?

The Gauss-Bonnet theorem is a formula that yields a topological invariant, i.e. something that can be used to characterise e.g. manifolds.