Son Lam Ho
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.
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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.
Key concepts: Gaussian curvature, Gauss–Bonnet theorem, Geodesic, Gauss, Curvature, Mathematics, Sectional curvature, Geometry