i have been reading about 'Selberg Trace formula'(adsbygoogle = window.adsbygoogle || []).push({});

i know what a Laplacian is but i do not know what is the author referring to when he talks about 'Closed Geodesic' i know what the Geodesic of a surface is

[tex] l(\gamma)=\int_\gamma \sqrt{ g(\dot\gamma(t),\dot\gamma(t)) }\,dt\ ,[/tex]

but i do not know what means 'closed' or why the geodesic of a torus would have the lenght (?) [tex] l_n =na [/tex] a=radius ??

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

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!

# What are the 'closed geodesic' ?

Loading...

Similar Threads - 'closed geodesic' | Date |
---|---|

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

I Winding number for a point that lies over a closed curve | Feb 16, 2017 |

A Exact vs Closed forms | Jan 28, 2017 |

A Why the terms - exterior, closed, exact? | May 15, 2016 |

Closed-space sphere "displacement"? | Jan 8, 2015 |

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