Find the expression for the Gauss curvature in the polar coordinates associated to the exponential map. I thought about using Gauss's lemma: if $(r,\theta)$ are polar coordinates in the tangent plane and followed by the exponential map from the tangent plane to the surface; so E=1 and F=0, but how to continue?
2026-04-02 09:07:49.1775120869
Gaussian curvature in polar coordinates
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