Can anyone point me to good reference that fully develops the geometry of geodesic curvature? Most of the ones I have manage to derive it, then show it's the normal to the curve, then never mention it again.(adsbygoogle = window.adsbygoogle || []).push({});

I want to know how it relates to the metric, first second or third.

Thanks.

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# Geodesic Curvature (Curvature of a curve)

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