I am trying to figure out if a geodesic can be inflectional (in euclidean space...). I am not sure it even makes sens, from the definition of a geodesic, but it seems to me that a geodesic will not in general be(adsbygoogle = window.adsbygoogle || []).push({}); extremal, but onlystationnary.

Is there a general theorem preventing a monster such as an "inflectional geodesics", or do you have a beautiful example, or am I just obviously on the wrong track here ?

Thank you for any help.

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# Inflectional geodesics ?

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