BooksirmaCollected Volumepp. 113–123

The Gauss–Bonnet theorem and the geometry of surfaces

  • Son Lam Ho

    Université de Sherbrooke, Canada
The Gauss–Bonnet theorem and the geometry of surfaces cover
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Abstract

This is an expository article on the classical Gauss–Bonnet theorem. Focusing on the intuition behind the ideas, we introduce the concepts of geodesic curvature, Gaussian curvature, and tie them together with an informal proof of the theorem.