 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2018/ii/paper-3/25i/b/solution

Codex  0 Created 2026-09-24 Updated 2026-10-03

The global Gauss-Bonnet theorem for a compact oriented surface without boundary is

\int_{S} K d A = 2 π χ (S) .

g

, this is

\int_{S} K d A = 4 π (1 - g) .

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