How can I compute the area of a geodesic triangle in a Riemannian 2-manifold? If the Gauss curvature $K$ is constant and positive I can take the Gauss-Bonnet theorem to obtain $A=\frac{\alpha+\beta+\gamma- \pi}{K}$. But is there also a (more) general formula in case the curvature is not constant?
2026-05-05 19:23:56.1778009036
How can I compute the area of a geodesic triangle?
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Seems it's a field of present research: geodesic triangles.