(adsbygoogle = window.adsbygoogle || []).push({}); Geodesics of hyperbolic paraboloid (urgent!)

Help me find the geodesics of the hyperbolic paraboloid z=xy passing through (0,0,0).

I know that lines and normal sections are geodesics. Based on a picture, I think y=x and y=-x are 2 line geodesics. Then, maybe the planes in the z-y and z-x axis passing through (0,0,0) are geodesics? How can I check this?

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# Homework Help: Geodesics of hyperbolic paraboloid ( !)

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