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.

**Physics Forums - The Fusion of Science and Community**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Inflectional geodesics ?

Loading...

Similar Threads - Inflectional geodesics | Date |
---|---|

I Deduce Geodesics equation from Euler equations | Dec 7, 2017 |

I Metric tensor derived from a geodesic | Apr 17, 2017 |

I Meaning of the sign of the geodesic curvature | Nov 11, 2016 |

I Example of computing geodesics with 2D polar coordinates | Aug 6, 2016 |

**Physics Forums - The Fusion of Science and Community**