Recent content by o_parhizkari

Eynstone said: Hi, Thanks for your reply, indeed, that's what I initially tried. Actually I don't have any set of curve in hand (so I said I only imagine them), but only some differential equations. So, as a first step I tried to write my differential equations in the form of geodesic...

Ok, I see, sorry for writing in green. Also sorry for my lame clarification, put that for me being an engineer not very familiar with the geometrs' language. I simply imagine some curves in some known geometry (say, in some Euclidean space) and now I am seeking for a new geometry in which the...

Hi again, Thank you for the replies, I am not a mathematician but I am enjoying my mind being engaged with your interesting ideas. Let me first correct my question by adding the assumption that the manifold is smooth and metrizable. Then let me clarify my question further: geodesics of...

Hi, Is it true to say on a topological manifold one can always find a unique metric such that a set of non intersecting curves become its geodesics? Is there any way to find that metric? Thanks, Owzhan